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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) (Co)homology theory in algebraic geometry, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Simple, semisimple, reductive (super)algebras, Transcendental methods, Hodge theory (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) X. L. Wu, ``On the extensions of abelian varieties by affine group schemes'' in Group Theory (Beijing, 1984) , Lecture Notes in Math. 1185 , Springer, Berlin, 1986, 361--387. Abelian varieties and schemes, Affine algebraic groups, hyperalgebra constructions, Cohomology theory for linear algebraic groups, Formal groups, \(p\)-divisible 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) M. Schlichenmaier, ''Multipoint Lax operator algebras: Almost graded structure and central extensions,'' ArXiv:1304.3902. Infinite-dimensional Lie (super)algebras, Virasoro and related algebras, Cohomology of Lie (super)algebras, Relationships between algebraic curves and integrable systems | 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, 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) DOI: 10.1007/s00222-005-0495-3 Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Algebraic moduli problems, moduli of vector bundles | 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) Infinite-dimensional Lie (super)algebras, Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations, Geometric Langlands program (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) Representation theory for linear algebraic groups, Linear algebraic groups over local fields and their integers, Group actions on varieties or schemes (quotients), Ordinary representations and characters | 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) Dou, J; Sheng, J; Xiao, J, Complex Lie algebras corresponding to weighted lines, Front. Math. China, 6, 629-639, (2011) Vector bundles on curves and their moduli, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Root systems | 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) Paul Hamacher, ``The geometry of Newton strata in the reduction modulo \(p\) of Shimura varieties of PEL type'', Duke Math. J.164 (2015) no. 15, p. 2809-2895 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) Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Algebraic moduli problems, moduli of vector bundles, Derived categories and associative 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) J.Y. Abuhlail, Hopf pairings and (co)induction functors over commutative rings, J. Algebra Appl., in press Affine algebraic groups, hyperalgebra constructions, Module categories in associative algebras, Quantum groups (quantized enveloping algebras) and related deformations | 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, Cohomology of Lie (super)algebras, Pseudodifferential operators as generalizations of partial differential operators, 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) 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) M. R. Bremner, ''Four-point affine Lie algebras,''Proc. Amer. Math. Soc.,123, 1981--1989 (1995). Infinite-dimensional Lie (super)algebras, Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations, Curves 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) Toledo, D. Examples of fundamental groups of compact Kähler manifolds.Bull. London Math. Soc. 22, 339--343 (1990). Discontinuous groups of transformations, Global differential geometry of Hermitian and Kählerian manifolds, Discrete subgroups of Lie groups, Homotopy theory and fundamental groups in algebraic geometry, Fundamental group, presentations, free differential calculus | 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 cohomology, crystalline cohomology, Linear algebraic groups over local fields and their integers, Transcendental methods, Hodge theory (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) Yau S S-T. Continuous family of finite dimensional representations of a solvable Lie algebra arising from singularities. Proc Natl Acad Sci, USA, 80: 7694--7696 (1983) MR 84k:58043 Solvable, nilpotent (super)algebras, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Singularities of surfaces or higher-dimensional varieties, Automorphisms, derivations, other operators for Lie algebras and super algebras, Families, moduli, classification: algebraic 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) Mühlherr, B., Petersson, H.P., Weiss, R.M.: Descent in Buildings. Annals of Mathematics Studies, vol. 190. Princeton University Press, Princeton (2015) Infinite-dimensional Lie groups and their Lie algebras: general properties, Group schemes, Generators, relations, and presentations of groups, Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, Linear algebraic groups over local fields and their integers, Linear algebraic groups over arbitrary 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) Oda, T.: Hodge structures attached to geometric automorphic forms. Adv. stud. Pure math. 7, 223-276 (1985) Discrete subgroups of Lie groups, Special values of automorphic \(L\)-series, periods of automorphic forms, cohomology, modular symbols, Transcendental methods, Hodge theory (algebro-geometric aspects), Automorphic forms, one variable, Theta series; Weil representation; theta correspondences | 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) Projective techniques in algebraic geometry, Syzygies, resolutions, complexes and commutative rings, Cohomology of Lie (super)algebras, Infinite-dimensional Lie (super)algebras, Quantum groups (quantized enveloping algebras) and related deformations | 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, Linear algebraic groups over local fields and their integers, Linear algebraic groups and related topics | 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) Marc Burger, An extension criterion for lattice actions on the circle, Geometry, rigidity, and group actions, Chicago Lectures in Mathematics, University of Chicago Press, 2011, p. 3-31 Discrete subgroups of Lie groups, Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies), Cohomology of groups, Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.), Homotopy groups of topological groups and homogeneous 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) B. L. Feĭgin and È. V. Frenkel\(^{\prime}\), A family of representations of affine Lie algebras, Uspekhi Mat. Nauk 43 (1988), no. 5(263), 227 -- 228 (Russian); English transl., Russian Math. Surveys 43 (1988), no. 5, 221 -- 222. Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Cohomology of Lie (super)algebras, 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) Geck M. , An introduction to algebraic geometry and algebraic groups, Oxford Graduate Texts in Mathematics 20 (Oxford University Press, Oxford, 2013). Classical groups (algebro-geometric aspects), Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry, Group actions on varieties or schemes (quotients), Linear algebraic groups over local fields and their integers, Group actions on affine varieties, Rational and birational maps, Grassmannians, Schubert varieties, flag manifolds, Linear algebraic groups over finite fields, Research exposition (monographs, survey articles) pertaining to group theory, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to group theory, Homogeneous spaces and generalizations | 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) Gurjar R.V., Shastri A.R.: A topological characterization of C2/G. J. Math. Kyoto Univ.25 (no. 4), 767--773 (1985) Moduli, classification: analytic theory; relations with modular forms, Affine algebraic groups, hyperalgebra constructions, Complex Lie groups, group actions on complex 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) Parametrization (Chow and Hilbert schemes), Combinatorial aspects of representation theory, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Algebraic moduli problems, moduli of vector bundles | 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) O. K. Sheinman, ''A Fermion Model of Representations of Affine Krichever-Novikov Algebras,'' Funkts. Anal. Ego Prilozh. 35(3), 60--72 (2001). Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations, Virasoro and related algebras, Vector bundles on curves and their moduli, Loop groups and related constructions, group-theoretic treatment | 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) David Ben-Zvi and Thomas Nevins, \(\scr D\)-bundles and integrable hierarchies, J. Eur. Math. Soc. (JEMS) 13 (2011), no. 6, 1505-1567. Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Singularities of curves, local rings, Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), Elliptic curves, Infinite-dimensional Lie (super)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) Loop groups and related constructions, group-theoretic treatment, Grassmannians, Schubert varieties, flag manifolds, Classical problems, Schubert calculus | 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) Groups with a \(BN\)-pair; buildings, 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) N.\ A. Karpenko, Canonical dimension, Proceedings of the international congress of mathematicians. II: Invited lectures (ICM 2010), World Scientific, Hackensack (2010), 146-161. Affine algebraic groups, hyperalgebra constructions, Algebraic cycles | 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) R. Brylinski and B. Kostant, \textit{Nilpotent orbits, normality, and Hamiltonian group actions}, \textit{Bull. Amer. Math. Soc.}\textbf{26} (1992) 269 [math.RT/9204227]. Semisimple Lie groups and their representations, Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Group actions on varieties or schemes (quotients), Simple, semisimple, reductive (super)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) Cohomology theory for linear algebraic groups, Linear algebraic groups over arbitrary fields, 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) Y.G. Zarkhin , ''Linear irreducible Lie algebras and Hodge structures,'' Algebraic geometry , Lect. Notes in Math. 1479, Springer-Verlag, Berlin-Heidelberg, 1991, pp. 281-297. Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Transcendental methods, Hodge theory (algebro-geometric aspects), Finite-dimensional division 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) O. K. Sheinman, ''Elliptic Affine Lie Algebras,'' Funct. Anal. Appl. 24(3), 210--219 (1991). Infinite-dimensional Lie (super)algebras, Virasoro and related algebras, Elliptic curves | 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. Donkin, \textit{Rational Representations of Algebraic Groups}, Lecture Notes in Mathematics, Vol. 1140, Springer-Verlag, Berlin, 1985. Representation theory for linear algebraic groups, Affine algebraic groups, hyperalgebra constructions, Cohomology theory for linear algebraic groups, Research exposition (monographs, survey articles) pertaining to group theory, Homogeneous spaces and generalizations | 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) Poisson manifolds; Poisson groupoids and algebroids, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Singularities of surfaces or higher-dimensional 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), Simple, semisimple, reductive (super)algebras, Grassmannians, Schubert varieties, flag manifolds, Supervarieties | 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, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Ordinary representations and characters, Cohomology theory for linear algebraic groups, Group schemes, Exceptional groups, Quantum groups (quantized function algebras) and their representations, Quantum groups (quantized enveloping algebras) and related deformations | 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) K. D. Mulmuley, H. Narayanan and M. Sohoni, Geometric complexity theory III: on deciding nonvanishing of a Littlewood--Richardson coefficient. \textit{Journal of Algebraic Combinatorics }36(2012), 103--110.Zbl 1271.03055 MR 2927658 Complexity of computation (including implicit computational complexity), Complexity classes (hierarchies, relations among complexity classes, etc.), Computational difficulty of problems (lower bounds, completeness, difficulty of approximation, etc.), Geometric invariant theory, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Special polytopes (linear programming, centrally symmetric, 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) DOI: 10.1007/s00229-006-0632-3 Semisimple Lie groups and their representations, Representations of Lie and linear algebraic groups over local fields, 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) Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Grassmannians, Schubert varieties, flag manifolds, Equivariant \(K\)-theory, Quantum groups and related algebraic methods applied to problems in quantum 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) Biswas, Monodromy group for a strongly semistable principal bundle over a curve, II, J. K-Theory 1 (3) pp 583-- (2008) 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) Luzgarev, A. Yu.; Vavilov, N. A., Normalizer of the Chevalley group of type \(E_7\), St. Petersburg Math. J., 27, 899-921, (2016) Linear algebraic groups over adèles and other rings and schemes, Subgroup theorems; subgroup growth, Representation theory for linear algebraic groups, Group schemes, Affine algebraic groups, hyperalgebra constructions, Exceptional 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) O. K. Sheinman, ''Representations of Krichever-Novikov Algebras,'' in Topics in Topology and Mathematical Physics, Ed. by S. P. Novikov (Am.Math. Soc., Providence, R.I., 1995), pp. 185--197. Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, Loop groups and related constructions, group-theoretic treatment, Differentials on Riemann surfaces, Riemann surfaces; Weierstrass points; gap sequences | 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) Popov, V. L., \textit{contraction of the actions of reductive algebraic groups}, Math. USSR-Sb, 58, 311, (1987) Group actions on varieties or schemes (quotients), Geometric invariant theory, 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) A. Beilinson, V. Ginzburg, and W. Soergel, Koszul duality patterns in representation theory, \textit{J. Amer. Math. Soc.}, 9 (1996), no. 2, 473--527.Zbl 0864.17006 MR 1322847 Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Universal enveloping (super)algebras, Grassmannians, Schubert varieties, flag manifolds, Semisimple Lie groups 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) Soergel, W., Kategorie \(\mathcal{O}\), perverse Garben und Moduln über den Koinvarianten zur Weylgruppe, J. Amer. Math. Soc., 3, 421-445, (1990) Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Grassmannians, Schubert varieties, flag manifolds, Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies), Simple, semisimple, reductive (super)algebras, Semisimple Lie groups 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) Vasiu, A., Surjectivity criteria for \(p\)-adic representations I, Manuscr. Math., 112, 325-355, (2003) Integral representations, 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) Representations of Lie and linear algebraic groups over local fields, Linear algebraic groups over local fields and their integers, Linear algebraic groups over arbitrary fields, Permutations, words, matrices, 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) Discrete subgroups of Lie groups, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to topological groups, Collected or selected works; reprintings or translations of classics, Structure of modular groups and generalizations; arithmetic groups, Algebraic groups, Linear algebraic groups over the reals, the complexes, the quaternions, Linear algebraic groups over global 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) S. Mukhopadhyay, \textit{Remarks on level one conformal block divisors}, C. R. Math. Acad. Sci. Paris \textbf{352} (2014), no. 3, 179-182. Families, moduli of curves (algebraic), Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Vector bundles on surfaces and higher-dimensional varieties, and their moduli | 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) Ginzburg, V; Riche, S, Differential operators on \(G/U\) and the affine Grassmannian, J. Inst. Math. Jussieu., 14, 493-575, (2015) Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies), Grassmannians, Schubert varieties, flag manifolds, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.), 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) Arbarello, E., de Concini, C., Kac, V.G.: The infinite wedge representation and the reciprocity law for algebraic curves. In: Proceeding of Symposia in pure mathematics, \textbf{49}, 171-190 (1989) Infinite-dimensional Lie groups and their Lie algebras: general properties, Algebraic functions and function fields in algebraic geometry, Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Adèle rings and groups, Infinite-dimensional Lie (super)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) Sen, S, Continuous cohomology and \(p\)-adic Galois representations, Invent. Math., 62, 89-116, (1980) Galois cohomology, Cohomology theory for linear algebraic groups, \(p\)-adic cohomology, crystalline cohomology, Representations of Lie and linear algebraic groups over local fields, 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) Grassmannians, Schubert varieties, flag manifolds, Factorials, binomial coefficients, combinatorial functions, 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) Geipel, JC, Sasakian quiver gauge theory on the aloff-wallach space X\_{}\{1,1\}, Nucl. Phys., B 916, 279, (2017) Yang-Mills and other gauge theories in quantum field theory, Representations of quivers and partially ordered sets, Quantum field theory on curved space or space-time backgrounds, Special Riemannian manifolds (Einstein, Sasakian, etc.), Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), 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) Jen-Tseh Chang, Special \?-types, tempered characters and the Beilinson-Bernstein realization, Duke Math. J. 56 (1988), no. 2, 345 -- 383. Semisimple Lie groups and their representations, Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.), Homogeneous spaces and generalizations, 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) K. Kubjas and C. Manon, \textit{Conformal blocks, Berenstein--Zelevinsky triangles, and group-based models}, J. Algebraic Combin., 40 (2014), pp. 861--886. Families, moduli of curves (algebraic), Fibrations, degenerations in algebraic geometry, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), 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) Marsh, R.J., Rietsch, K.C.: Parametrizations of flag varieties. Represent. Theory \textbf{8}, 212-242 (2004) (electronic) Grassmannians, Schubert varieties, flag manifolds, Linear algebraic groups over the reals, the complexes, the quaternions, Homogeneous spaces and generalizations, 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) Beazley, E. T.: Codimensions of Newton strata for \(SL(3)\) in the iwahori case, Math. Z. 263, 499-540 (2009) Linear algebraic groups over local fields and their integers, Formal groups, \(p\)-divisible groups, Group actions on varieties or schemes (quotients) | 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.~Arkhipov and D.~Gaitsgory 2002 Differential operators on the loop group via chiral algebras \textit{Int. Math. Res. Not.}2002 4 165--210 Vertex operators; vertex operator algebras and related structures, Families, moduli of curves (algebraic), Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Linear algebraic groups over arbitrary fields, Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, Loop groups and related constructions, group-theoretic treatment | 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. Garibaldi, V. Petrov, N. Semenov, \textit{Shells of twisted ag varieties and the Rost invariant}, to appear in Duke Math. J., arXiv:1012.2451v4 [math.AG] (5 Dec 2014). Affine algebraic groups, hyperalgebra constructions, Algebraic cycles | 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) Demazure, M., Gabriel, P.: Groupes algébriques. Tome I: Géométrie algébrique, généralités, groupes commutatifs. Masson & Cie, Éditeur, Paris. Avec un appendice ıt Corps de classes local par Michiel Hazewinkel (1970) Interpolation, preservation, definability, Affine algebraic groups, hyperalgebra constructions, 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) Jacobians, Prym varieties, Relationships between algebraic curves and integrable systems, Loop groups and related constructions, group-theoretic treatment, Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, 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) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Sheaves of differential operators and their modules, \(D\)-modules | 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) F. Izadi, K. Nabardi, A note on diophantine equation \(A^4+D^4=2(B^4+C^4)\) Rational points, \(K3\) surfaces and Enriques surfaces, Elliptic surfaces, elliptic or Calabi-Yau fibrations | 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) Flynn, E. Victor; Testa, Damiano; Van Luijk, Ronald: Two-coverings of Jacobians of curves of genus 2. Proc. lond. Math. soc. (3) 104, No. 2, 387-429 (2012) Coverings of curves, fundamental group, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Abelian varieties of dimension \(> 1\), 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) Semialgebraic sets and related spaces, Decidability of theories and sets of sentences | 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) Gallarati, D, Superficie algebriche con molti punti singolari isolati, Bull. Math. Soc. Sci. Math. Roumanie, 55, 249-274, (2012) Special surfaces, Singularities of surfaces or higher-dimensional varieties, Singularities in algebraic geometry, Computational aspects of algebraic surfaces, Hypersurfaces and 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) Simis, A., Ulrich, B.: On the ideal of an embedded join. J. Algebra 226, 1--14 (2000) 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) \beginbarticle \bauthor\binitsN. \bsnmHara, \bauthor\binitsT. \bsnmSawada and \bauthor\binitsT. \bsnmYasuda, \batitle\(F\)-blowups of normal surface singularities, \bjtitleAlgebra Number Theory \bvolume7 (\byear2013), page 733-\blpage763. \endbarticle \OrigBibText N. Hara, T. Sawada and T. Yasuda, \(F\)-blowups of normal surface singularities, Algebra Number Theory 7 (2013), 733-763. \endOrigBibText \bptokstructpyb \endbibitem Singularities in algebraic geometry, Positive characteristic ground fields in algebraic geometry, Global theory and resolution of singularities (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) Catalano-Johnson, M. L.: The homogeneous ideal of higher secant varieties. J. pure appl. Algebra 158, 123-129 (2001) Varieties of low degree, Projective techniques in algebraic geometry, Plane and space curves | 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) ] Garland, H., Absolute convergence of Eisenstein series on loop groups, Duke Math. J. 135 (2006), no. 2, 203-260, DOI 10.1215/S0012-7094-06-13521-4, \MR{2267283} Representation-theoretic methods; automorphic representations over local and global fields, Loop groups and related constructions, group-theoretic treatment | 1 |
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) Lee, K-H; Lombardo, P, Eisenstein series on affine Kac-Moody groups over function fields, Tran. Am. Math. Soc., 366, 2121-2165, (2014) Loop groups and related constructions, group-theoretic treatment, Representation-theoretic methods; automorphic representations over local and global 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) A. Braverman and D. Kazhdan, Some Examples of Hecke Algebras over 2-Dimensional Local Fields, arXiv: math. RT/0510538. Representations of Lie and linear algebraic groups over global fields and adèle rings, Loop groups and related constructions, group-theoretic treatment | 0 |