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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) H. Hecht and J. Taylor, Analytic localization of representations, preprint. Semisimple Lie groups and their representations, Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Universal enveloping (super)algebras, Lie algebras of Lie groups, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights)
0
Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) S. Zucker : L2-cohomology and intersection homology of locally symmetric varieties . Proc. Symposia Pure Math. 40, Part 2 (1983) 675-680. Providence: AMS. Other homology theories in algebraic topology, Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects), Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Cohomology theory for linear algebraic groups, Discrete subgroups of Lie groups, Automorphic forms on \(\mbox{GL}(2)\); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces
0
Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Martin Möller and Domingo Toledo, \textit{Bounded negativity of self-intersection num-} \textit{bers of Shimura curves in Shimura surfaces}, Algebra Number Theory 9 (2015), no. 4, 897--912. Modular and Shimura varieties, Special surfaces, Discrete subgroups of Lie groups, Ergodic theory, Global differential geometry of Hermitian and Kählerian manifolds
0
Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Fuchsian groups and their generalizations (group-theoretic aspects), Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics, Vector bundles on curves and their moduli, Discrete subgroups of Lie groups, Variational problems concerning minimal surfaces (problems in two independent variables), General geometric structures on low-dimensional manifolds
0
Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Grassmannians, Schubert varieties, flag manifolds, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, Kac-Moody groups, Applications of Lie groups to the sciences; explicit representations, KdV equations (Korteweg-de Vries equations)
0
Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Langmann, K. , Picard-Borel-Räume , Math. Ann, 284 (1989), 138-160. Picard-type theorems and generalizations for several complex variables, Affine algebraic groups, hyperalgebra constructions, Projective techniques in algebraic geometry
0
Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Corlette, K.; Simpson, C., \textit{on the classification of rank-two representations of quasiprojective fundamental groups}, Compos. Math., 144, 1271-1331, (2008) Harmonic maps, etc., Variation of Hodge structures (algebro-geometric aspects), Discrete subgroups of Lie groups, Compact Kähler manifolds: generalizations, classification
0
Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Research exposition (monographs, survey articles) pertaining to algebraic geometry, Affine algebraic groups, hyperalgebra constructions, Computational aspects of higher-dimensional varieties, Linear algebraic groups and related topics, Research exposition (monographs, survey articles) pertaining to group theory, Software, source code, etc. for problems pertaining to group theory
0
Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.), Semisimple Lie groups and their representations, Research exposition (monographs, survey articles) pertaining to topological groups, Simple, semisimple, reductive (super)algebras, Differentiable maps on manifolds, Theory of singularities and catastrophe theory, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Differentiable functions on analytic spaces, differentiable spaces, Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials
0
Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Linear algebraic groups over arbitrary fields, Affine algebraic groups, hyperalgebra constructions, Higher symbols, Milnor \(K\)-theory, Category of groups
0
Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) J. FUNKE AND J.J. MILLSON, Boundary behaviour of special cohomology classes arising from the Weil representation, preprint 2007. Theta series; Weil representation; theta correspondences, Theta functions and abelian varieties, Discrete subgroups of Lie groups
0
Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Hazewinkel: Formal groups and applications, (2012) Research exposition (monographs, survey articles) pertaining to algebraic geometry, Formal groups, \(p\)-divisible groups, Affine algebraic groups, hyperalgebra constructions, Formal power series rings, Witt vectors and related rings
0
Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Combinatorial aspects of tropical varieties, Combinatorial aspects of representation theory
0
Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Linear algebraic groups over global fields and their integers, Global ground fields in algebraic geometry, Grassmannians, Schubert varieties, flag manifolds, Classical groups (algebro-geometric aspects), Cohomology theory for linear algebraic groups, Discrete subgroups of Lie groups
0
Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Kumar, S., Kac-Moody groups, their flag varieties and representation theory, 204, (2002), Birkhäuser Boston, Inc.: Birkhäuser Boston, Inc., Boston, MA Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, Loop groups and related constructions, group-theoretic treatment, Research exposition (monographs, survey articles) pertaining to topological groups, Research exposition (monographs, survey articles) pertaining to nonassociative rings and algebras, Grassmannians, Schubert varieties, flag manifolds, Rational and unirational varieties
0
Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Fundamental constructions in algebraic geometry involving higher and derived categories (homotopical algebraic geometry, derived algebraic geometry, etc.), Generalizations (algebraic spaces, stacks), Algebraic moduli problems, moduli of vector bundles, Geometric invariant theory, Topological methods in group theory, Vanishing theorems in algebraic geometry, Homotopy theory and fundamental groups in algebraic geometry, Affine algebraic groups, hyperalgebra constructions
0
Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Karpenko, N, \textit{A bound for canonical dimension of the} (\textit{semi})\textit{spinor groups}, Duke Math. J., 133, 391-404, (2006) Affine algebraic groups, hyperalgebra constructions, Algebraic cycles, Grassmannians, Schubert varieties, flag manifolds
0
Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Affine algebraic groups, hyperalgebra constructions
0
Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) 10.4171/CMH/274 Representations of Lie and linear algebraic groups over local fields, Analysis on other specific Lie groups, Representation theory for linear algebraic groups, Linear algebraic groups over local fields and their integers, Classical groups (algebro-geometric aspects)
0
Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) He, X., Kottwitz-Rapoport conjecture on unions of affine Deligne-Lusztig varieties, Ann. Sci. Èc. Norm. Supér., 49, 1125-1141, (2016) Grassmannians, Schubert varieties, flag manifolds, Modular and Shimura varieties, Linear algebraic groups over local fields and their integers
0
Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) W J. A. Wolf: Cycle spaces of infinite dimensional flag domains. Annals of Global Analysis and Geometry \textbf 50 (2016), 315--346. Infinite-dimensional Lie groups and their Lie algebras: general properties, Infinite-dimensional Lie (super)algebras, Classical groups (algebro-geometric aspects), Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects)
0
Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) A.A. Kirillov, ''The orbit method, II: Infinite-dimensional Lie groups and Lie algebras'', Contemporary Mathematics145 (1993), p. 33-33 Lie algebras of Lie groups, Infinite-dimensional Lie (super)algebras, Algebraic properties of function spaces in general topology, Coverings in algebraic geometry, Rings and algebras of continuous, differentiable or analytic functions, Modular representations and characters, Infinite-dimensional Lie groups and their Lie algebras: general properties, Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations
0
Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Tannakian categories, Group schemes, Affine algebraic groups, hyperalgebra constructions
0
Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Lusztig, G.: Total positivity and canonical bases. In: Algebraic Groups and Lie Groups, Austral. Math. Soc. Lect. Ser., vol. 9, pp. 281--295. Cambridge Univ. Press, Cambridge, MA (1997) Linear algebraic groups over the reals, the complexes, the quaternions, Affine algebraic groups, hyperalgebra constructions, Representation theory for linear algebraic groups, Semigroups of transformations, relations, partitions, etc.
0
Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, Geometric Langlands program (algebro-geometric aspects), Associative rings and algebras arising under various constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Cohomology of Lie (super)algebras, Homological algebra in category theory, derived categories and functors
0
Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) N. J. Teff. ''The Hessenberg representation''. PhD thesis. University of Iowa, 2013. Classical problems, Schubert calculus, Grassmannians, Schubert varieties, flag manifolds, Discrete subgroups of Lie groups
0
Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Gaussent, S.; Littelmann, P., \textit{LS galleries, the path model, and MV cycles}, Duke Math. J., 127, 35-88, (2005) Representation theory for linear algebraic groups, Grassmannians, Schubert varieties, flag manifolds, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Semisimple Lie groups and their representations, Buildings and the geometry of diagrams
0
Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Slodowy, P.: On the geometry of Schubert varieties attached to Kac-Moody Lie algebras. CMS conf. Proc. 6, 405-442 (1986) Grassmannians, Schubert varieties, flag manifolds, Infinite-dimensional Lie (super)algebras, Infinite-dimensional Lie groups and their Lie algebras: general properties
0
Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Walton, C, Representation theory of three-dimensional Sklyanin algebras, uclear Phys. B, 860, 167-185, (2012) Yang-Mills and other gauge theories in quantum field theory, Supersymmetric field theories in quantum mechanics, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Calabi-Yau manifolds (algebro-geometric aspects)
0
Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Aubert, A.-M.; Cunningham, C., An introduction to sheaves on adic spaces for \textit{p}-adic group representation theory, Functional Analysis, VII (Dubrovnik, 2001), 46, 11-51, (2002), University Aarhus, Aarhus Rigid analytic geometry, Linear algebraic groups over local fields and their integers
0
Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) M. Schlichenmaier and O. K. Sheinman, ''Central Extensions of Lax Operator Algebras,'' arXiv: 0711.4688. Infinite-dimensional Lie (super)algebras, Applications of Lie algebras and superalgebras to integrable systems, Relationships between algebraic curves and integrable systems, Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations
0
Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Deformation quantization, star products, Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Virasoro and related algebras
0
Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Affine algebraic groups, hyperalgebra constructions, Modules of differentials, Linear boundary value problems for ordinary differential equations
0
Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Homogeneous flows, Homogeneous spaces and generalizations, Homogeneous spaces, Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.), Discrete subgroups of Lie groups
0
Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Modular and Shimura varieties, Formal groups, \(p\)-divisible groups, Linear algebraic groups over local fields and their integers
0
Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) \(p\)-adic theory, local fields, Rigid analytic geometry, Cohomology of arithmetic groups, Automorphic forms on \(\mbox{GL}(2)\); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces, Linear algebraic groups over local fields and their integers
0
Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Esnault, H.; Hai, P. H.; Sun, X., \textit{on nori's fundamental group scheme}, Geometry and dynamics of groups and spaces, 377-398, (2008), Birkhäuser, Basel Affine algebraic groups, hyperalgebra constructions, Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory)
0
Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Deraux, M, Forgetful maps between Deligne-mostow ball quotients, Geom. Dedic., 150, 377-389, (2011) Negative curvature complex manifolds, Fibrations, degenerations in algebraic geometry, Discrete subgroups of Lie groups, Compact analytic spaces
0
Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) C. Procesi, \textit{Lie Groups}, Universitext, Springer, New York, 2007. Research exposition (monographs, survey articles) pertaining to topological groups, General properties and structure of complex Lie groups, Combinatorial aspects of representation theory, Geometric invariant theory, Grassmannians, Schubert varieties, flag manifolds, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Representation theory for linear algebraic groups, Actions of groups on commutative rings; invariant theory
0
Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) N., Avni., Arithmetic groups have rational representation growth, Annals of Mathematics, 174, 1009-1056, (2011) Representation theory for linear algebraic groups, Other Dirichlet series and zeta functions, Discrete subgroups of Lie groups, Arcs and motivic integration, Analysis on \(p\)-adic Lie groups, Subgroup theorems; subgroup growth
0
Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Kashiwara, Masaki, Kazhdan-Lusztig conjecture for a symmetrizable Kac-Moody Lie algebra.The Grothendieck Festschrift, Vol.\ II, Progr. Math. 87, 407-433, (1990), Birkhäuser Boston, Boston, MA Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, Grassmannians, Schubert varieties, flag manifolds, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights)
0
Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Bellamy, G., \textit{on singular Calogero-Moser spaces}, Bull. Lond. Math. Soc., 41, 315-326, (2009) Noncommutative algebraic geometry, Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Rings arising from noncommutative algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Reflection and Coxeter groups (group-theoretic aspects)
0
Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) M. Adler and P. van Moerbeke, ''Linearization of Hamiltonian systems, Jacobi varieties, and representation theory,'' Adv. Math.,38, No. 3, 318--379 (1980). Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests, Geometric quantization, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Rational and birational maps, Jacobians, Prym varieties
0
Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Syzygies, resolutions, complexes and commutative rings, Determinantal varieties
0
Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Variation of Hodge structures (algebro-geometric aspects), Discrete subgroups of Lie groups, Hodge theory in global analysis, Period matrices, variation of Hodge structure; degenerations, Generalized hypergeometric series, \({}_pF_q\), Numerical algebraic geometry
0
Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Jensen, Lars Thorge; Williamson, Geordie, The \(p\)-canonical basis for Hecke algebras.Categorification and higher representation theory, Contemp. Math. 683, 333-361, (2017), Amer. Math. Soc., Providence, RI Hecke algebras and their representations, Modular representations and characters, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Grassmannians, Schubert varieties, flag manifolds, Reflection and Coxeter groups (group-theoretic aspects)
0
Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Kamnitzer, Joel, Mirković-vilonen cycles and polytopes, Annals of Mathematics, 171, 245-294, (2010) Representation theory for linear algebraic groups, Grassmannians, Schubert varieties, flag manifolds, Cohomology theory for linear algebraic groups, Combinatorial aspects of representation theory, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry), Semisimple Lie groups and their representations
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Modular and Shimura varieties, Linear algebraic groups over local fields and their integers
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) A. Vasiu, ''Reconstructing \(p\)-divisible groups from their truncations of small level,'' Comment. Math. Helv., vol. 85, iss. 1, pp. 165-202, 2010. \(p\)-adic cohomology, crystalline cohomology, Modular and Shimura varieties, Formal groups, \(p\)-divisible groups, Group actions on varieties or schemes (quotients), Linear algebraic groups over local fields and their integers
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) A.-L. Mare, Quantum cohomology of the infinite dimensional generalized flag manifolds, Adv. Math. 185 (2004), 347-369. Gromov-Witten invariants, quantum cohomology, Frobenius manifolds, Grassmannians, Schubert varieties, flag manifolds, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Loop groups and related constructions, group-theoretic treatment, Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Deriziotis, D. I.: A proof of a Carter--cline theorem ona1. Bull. acad. Polon. sci. (Ser. Sci. math.) 30, 485-491 (1982) Representation theory for linear algebraic groups, Linear algebraic groups over arbitrary fields, Affine algebraic groups, hyperalgebra constructions
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Burns,D.: On the geometry of elliptic modular surfaces and representations of finite groups. In: Springer Lecture Notes in Math., Vol. 1008, 1-29 (1983) Special surfaces, Structure of modular groups and generalizations; arithmetic groups, Moduli, classification: analytic theory; relations with modular forms, Families, moduli, classification: algebraic theory, Unimodular groups, congruence subgroups (group-theoretic aspects), Discrete subgroups of Lie groups, Representation theory for linear algebraic groups
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Ehud De Shalit, Residues on buildings and de Rham cohomology of \?-adic symmetric domains, Duke Math. J. 106 (2001), no. 1, 123 -- 191. de Rham cohomology and algebraic geometry, Linear algebraic groups over local fields and their integers, Groups with a \(BN\)-pair; buildings, Rigid analytic geometry
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Loop groups and related constructions, group-theoretic treatment, Elliptic curves, Vector bundles on curves and their moduli
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Yu, J.-K., \textit{smooth models associated to concave functions in Bruhat-Tits theory}, Autour des schémas en groupes. Vol. III, 227-258, (2015), Société Mathématique de France, Paris Groups with a \(BN\)-pair; buildings, Group schemes, Linear algebraic groups over local fields and their integers
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) J. Huebschmann, Kähler spaces, nilpotent orbits, and singular reduction, Mem. Amer. Math. Soc., 172, (2004) Momentum maps; symplectic reduction, Geometric invariant theory, Group actions on varieties or schemes (quotients), Poisson algebras, Infinite-dimensional Lie (super)algebras, Associated manifolds of Jordan algebras
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Elliptic curves, Families, moduli of curves (algebraic), Local ground fields in algebraic geometry, Discrete subgroups of Lie groups, Complex multiplication and moduli of abelian varieties, Complex multiplication and abelian varieties, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Modular and automorphic functions, Representations of Lie and linear algebraic groups over local fields
0
Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Nicole, Marc-Hubert; Vasiu, Adrian; Wedhorn, Torsten, Purity of level \(m\) stratifications, Ann. Sci. Éc. Norm. Supér. (4), 0012-9593, 43, 6, 925-955, (2010) Formal groups, \(p\)-divisible groups, Arithmetic aspects of modular and Shimura varieties, Varieties over finite and local fields, \(p\)-adic cohomology, crystalline cohomology, Modular and Shimura varieties, Group actions on affine varieties, Linear algebraic groups over local fields and their integers
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) , Cohomology of fiber systems and Mordell-Weil groups of Abelian Varieties, Duke Math. /., 56 (1988), 41-46. Arithmetic aspects of modular and Shimura varieties, Cohomology of arithmetic groups, Algebraic moduli problems, moduli of vector bundles, Algebraic moduli of abelian varieties, classification, Discrete subgroups of Lie groups, Semisimple Lie groups and their representations, Sheaves and cohomology of sections of holomorphic vector bundles, general results
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Geometric Langlands program (algebro-geometric aspects), Categorical structures, Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects), Linear algebraic groups over local fields and their integers
0
Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Other special orthogonal polynomials and functions, Other functions coming from differential, difference and integral equations, Riemann surfaces; Weierstrass points; gap sequences, Infinite-dimensional Lie (super)algebras, Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization), Geometric theory, characteristics, transformations in context of PDEs, PDEs in connection with optics and electromagnetic theory
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Gorbounov V., Malikov F., Schechtman V.: On chiral differential operators over homogeneous spaces. Int. J. Math. Math. Sci. 26(2), 83--106 (2001) Loop groups and related constructions, group-theoretic treatment, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal)
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Fibrations, degenerations in algebraic geometry, Grassmannians, Schubert varieties, flag manifolds, Toric varieties, Newton polyhedra, Okounkov bodies, Compactifications; symmetric and spherical varieties, Simple, semisimple, reductive (super)algebras, Universal enveloping (super)algebras, Representation theory for linear algebraic groups
0
Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Karpenko, N. A.; Merkurjev, A. S.: Hermitian forms over quaternion algebras. Compos. math. 150, No. 12, 2073-2094 (2014) Bilinear and Hermitian forms, Algebraic cycles, Affine algebraic groups, hyperalgebra constructions
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Görtz, U.; Haines, T.; Kottwitz, R.; Reuman, D., Affine Deligne-Lusztig varieties in affine flag varieties, Compos. Math., 146, 1339-1382, (2010) Formal groups, \(p\)-divisible groups, Galois cohomology, Linear algebraic groups over local fields and their integers, \(p\)-adic cohomology, crystalline cohomology
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Graded Lie algebras, graded Hopf algebras, and graded algebraic groups, Proceedings of the 2nd Conference on Convergence structures and their Applications, Schwerin 1983, Abh. der AdW der DDR Abtlg. Math.-Naturw.-Techn. 1984 Nr. 2, 15--24 Graded Lie (super)algebras, Affine algebraic groups, hyperalgebra constructions, Graded rings and modules (associative rings and algebras)
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Discrete subgroups of Lie groups, Other geometric groups, including crystallographic groups, Group actions on varieties or schemes (quotients), Generators, relations, and presentations of groups, Coverings of curves, fundamental group
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Discrete subgroups of Lie groups, Linear algebraic groups over global fields and their integers, Homogeneous spaces, Other algebraic groups (geometric aspects)
0
Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Vasiu, A., \textit{integral models in unramified mixed characteristic (0,2) of Hermitian orthogonal Shimura varieties of PEL type, part II}, Math. Nachr., 287, 1756-1773, (2014) Arithmetic aspects of modular and Shimura varieties, Modular and Shimura varieties, Abelian varieties of dimension \(> 1\), Complex multiplication and moduli of abelian varieties, \(p\)-adic cohomology, crystalline cohomology, Algebraic moduli of abelian varieties, classification, Formal groups, \(p\)-divisible groups, Classical groups, Linear algebraic groups over local fields and their integers
0
Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Arithmetic aspects of modular and Shimura varieties, Rational points, Discrete subgroups of Lie groups
0
Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Kaneda, M. and Naito, S. ''A Twining Character Formula for Demazure Modules''. to appear in Transfor. Groups Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Homogeneous spaces and generalizations, Linear algebraic groups over the reals, the complexes, the quaternions
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) P-L. Montagard, B. Pasquier, N. Ressayre, \textit{Generalisations of the PRV conjecture}, II, preprint (2012). Semisimple Lie groups and their representations, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Geometric invariant theory
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) X. Fang, P. Littelmann, M. Pabiniak, \textit{Simplices in Newton-Okounkov bodies and the Gromov width of coadjoint orbits}, arXiv:1607.01163 (2016). Symplectic manifolds (general theory), Grassmannians, Schubert varieties, flag manifolds, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights)
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Trigonometric and exponential sums (general theory), Representation theory for linear algebraic groups, Spectral theory; trace formulas (e.g., that of Selberg), Affine algebraic groups, hyperalgebra constructions, Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas)
0
Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Christopher Manon and Zhengyuan Zhou, Semigroups of \?\?\(_{3}\)(\Bbb C) tensor product invariants, J. Algebra 400 (2014), 94 -- 104. Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Free semigroups, generators and relations, word problems, Toric varieties, Newton polyhedra, Okounkov bodies
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Simple, semisimple, reductive (super)algebras, Automorphisms, derivations, other operators for Lie algebras and super algebras, Jacobians, Prym varieties, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights)
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Block, R E, Commutative Hopf algebras, Lie coalgebras, and divided powers, J Algebra, 96, 275-306, (1985) Universal enveloping (super)algebras, Graded Lie (super)algebras, Affine algebraic groups, hyperalgebra constructions
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Discrete subgroups of Lie groups, Hyperbolic and Kobayashi hyperbolic manifolds, Character varieties, Invariants of 3-manifolds (including skein modules, character varieties), Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects), Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables), Differential geometry of symmetric spaces
0
Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Abelian varieties of dimension \(> 1\), Arithmetic ground fields for abelian varieties, Lie algebras of linear algebraic groups, Linear algebraic groups over local fields and their integers
0
Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Proceedings of conferences of miscellaneous specific interest, Proceedings, conferences, collections, etc. pertaining to associative rings and algebras, Proceedings, conferences, collections, etc. pertaining to nonassociative rings and algebras, Proceedings, conferences, collections, etc. pertaining to algebraic geometry, Proceedings, conferences, collections, etc. pertaining to combinatorics, Representations of quivers and partially ordered sets, Ideals in associative algebras, Rings arising from noncommutative algebraic geometry, Connections of Hopf algebras with combinatorics, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Poisson algebras, Applications of Lie algebras and superalgebras to integrable systems, Relationships between algebraic curves and integrable systems, Noncommutative algebraic geometry, Factorials, binomial coefficients, combinatorial functions, Combinatorial aspects of representation theory, Free semigroups, generators and relations, word problems
0
Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Csima, N.E.: Newton--Hodge filtration for self-dual F-crystals. Preprint, arXiv:0706.2530 \(p\)-adic cohomology, crystalline cohomology, Representations of Lie and linear algebraic groups over local fields, Linear algebraic groups over local fields and their integers, Algebraic theory of abelian varieties
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Affine algebraic groups, hyperalgebra constructions, Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Linear algebraic groups over local fields and their integers, Varieties over finite and local fields, Modular and Shimura varieties, Reflection and Coxeter groups (group-theoretic aspects), Representation theory for linear algebraic groups
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Bocklandt, R., Le Bruyn, L.: Necklace Lie algebras and noncommutative symplectic geometry. Math. Z. \textbf{240}, 141-167 (2002). arXiv:math/0010030 Representations of quivers and partially ordered sets, Infinite-dimensional Lie (super)algebras, Symplectic manifolds (general theory), Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Vinay Deodhar, A brief survey of Kazhdan-Lusztig theory and related topics, Algebraic groups and their generalizations: classical methods (University Park, PA, 1991) Proc. Sympos. Pure Math., vol. 56, Amer. Math. Soc., Providence, RI, 1994, pp. 105 -- 124. Representation theory for linear algebraic groups, Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.), Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Other geometric groups, including crystallographic groups, Universal enveloping (super)algebras, Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, Grassmannians, Schubert varieties, flag manifolds
0
Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) A.M. Licata, Framed torsion-free sheaves on \$ \(\backslash\)mathbb\{C\}\{\(\backslash\)mathbb\{P\}\^\{\{2\}\}\} \$ , Hilbert schemes, and representations of infinite dimensional Lie algebras, Adv. Math. 226 (2011) 1057. Algebraic moduli problems, moduli of vector bundles, Parametrization (Chow and Hilbert schemes), Infinite-dimensional Lie (super)algebras
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Affine algebraic groups, hyperalgebra constructions
0
Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) N. A. Karpenko, Z. Reichstein, \textit{A numerical invariant for linear representations of finite groups}, to appear in Comment. Math. Helvetici, Linear Algebraic Groups and Related Structures (preprint server), no. 534 (May 15, 2014, revised: June 18, 2014). Affine algebraic groups, hyperalgebra constructions, Algebraic cycles
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Surfaces of general type, Relations with algebraic geometry and topology, Discrete subgroups of Lie groups, Structure of modular groups and generalizations; arithmetic groups
0
Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Representation theory for linear algebraic groups, Semisimple Lie groups and their representations, History of mathematics in the 20th century, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), History of mathematics in the 19th century, History of group theory, Geometric invariant theory, Linear algebraic groups over the reals, the complexes, the quaternions
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Combinatorial aspects of representation theory, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.), Geometric Langlands program: representation-theoretic aspects, Affine geometry, Grassmannians, Schubert varieties, flag manifolds
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Cline, E., Parshall, B.J., Scott, L.: Injective modules for infinitesimal algebraic groups, I. J. London Math. Soc.31, 277--291 (1985) Representation theory for linear algebraic groups, Classical groups (algebro-geometric aspects), Linear algebraic groups over finite fields, Group schemes, Affine algebraic groups, hyperalgebra constructions
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Representations of quivers and partially ordered sets, Group actions on varieties or schemes (quotients), Representations of Lie algebras and Lie superalgebras, algebraic theory (weights)
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Cohomology of arithmetic groups, Transcendental methods, Hodge theory (algebro-geometric aspects), Modular and Shimura varieties, Homology and cohomology of \(H\)-spaces, Representation-theoretic methods; automorphic representations over local and global fields, Discrete subgroups of Lie groups
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) A. M. Cohen and B. N. Cooperstein, Lie incidence systems from projective varieties, Proc. Am. Math. Soc., 126 (1998), 2095--2102. Geometry of classical groups, Lie geometries in nonlinear incidence geometry, Affine algebraic groups, hyperalgebra constructions, Classical groups (algebro-geometric aspects), Grassmannians, Schubert varieties, flag manifolds
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Haboush, WJ, Infinite dimensional algebraic geometry: algebraic structures on \(p\)-adic groups and their homogeneous spaces, Tohoku Math. J. (2), 57, 65-117, (2005) Schemes and morphisms, Group schemes, Linear algebraic groups over local fields and their integers
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) N. Chriss and V. Ginzburg, Representation Theory and Complex Geometry, Mod. Birkhäuser Class., Birkhäuser Boston, Boston, MA, 2010. Research exposition (monographs, survey articles) pertaining to topological groups, Research exposition (monographs, survey articles) pertaining to group theory, Families, fibrations in algebraic geometry, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Higher algebraic \(K\)-theory, Lie groups, Representation theory for linear algebraic groups, Cohomology theory for linear algebraic groups, Hecke algebras and their representations
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Ronnie Lee and Steven H. Weintraub, Cohomology of \?\?\(_{4}\)(\?) and related groups and spaces, Topology 24 (1985), no. 4, 391 -- 410. Discrete subgroups of Lie groups, Theta series; Weil representation; theta correspondences, Classical real and complex (co)homology in algebraic geometry, Families, moduli, classification: algebraic theory, Special values of automorphic \(L\)-series, periods of automorphic forms, cohomology, modular symbols
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) 8 E. Hrushovski and D. Kazhdan, 'The value ring of geometric motivic integration and the Iwahori Hecke algebra of SL 2', \textit{Geom. Funct. Anal.}17 (2008) 1924-1967. Model-theoretic algebra, Other nonanalytic theory, Arcs and motivic integration, Hecke algebras and their representations, Linear algebraic groups over local fields and their integers
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Howard Garland, The arithmetic theory of loop groups. II. The Hilbert-modular case, J. Algebra 209 (1998), no. 2, 446 -- 532. Loop groups and related constructions, group-theoretic treatment, Linear algebraic groups over local fields and their integers, Infinite-dimensional Lie (super)algebras, Discrete subgroups of Lie groups, Affine algebraic groups, hyperalgebra constructions, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Hwang, J.-M., On the number of complex hyperbolic manifolds of bounded volume, Internat. J. Math., 8, 863-873, (2005) Hyperbolic and Kobayashi hyperbolic manifolds, Divisors, linear systems, invertible sheaves, Discrete subgroups of Lie groups
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