Algebraic groups and their generalizations : classical methods : Summer Research Institute on Algebraic Groups and Their Generalizations, July 6-26, 1991, Pennsylvania State University, University Park, Pennsylvania / William J. Haboush, Brian J. Parshall, editors.

Format:

Book

Conference/Event

Contributor:

Haboush, William J., editor.

Parshall, Brian J., editor.

Conference Name:

Summer Research Institute on Algebraic Groups and Their Generalizations (1991 : Pennsylvania State University), issuing body.

Series:

Proceedings of symposia in pure mathematics ; volume 56, part 1.

Proceedings of symposia in pure mathematics ; volume 56, part 1

Language:

English

Subjects (All):

Linear algebraic groups--Congresses.

Linear algebraic groups.

Quantum groups--Congresses.

Quantum groups.

Physical Description:

1 online resource (397 p.)

Place of Publication:

Providence, Rhode Island : American Mathematical Society, [1994]

Language Note:

English

Contents:

""Contents""; ""Preface""; ""Part 1. Algebraic groups and their generalizations: Classical methods""; ""Â1. A previously unpublished paper of C. Chevalley""; ""Sur les decompositions cellulaires des espaces G/B""; ""Â2. Perverse sheaves, Kazhdan Lusztig program, and related topics""; ""Introduction to middle intersection cohomology and perverse sheaves""; ""The Bruhat graph of a Coxeter group, a conjecture of Deodhar, and rational smoothness of Schubert varieties""; ""Simulating perverse sheaves in modular representation theory""

""A brief survey of Kazhdan-Lusztig theory and related topics""""Â3. Finite Chevalley groups and related matters""; ""Green theory for Hecke algebras and Harish-Chandra philosophy""; ""Liftable deformations and Hecke algebras""; ""A Hecke algebra of the symmetric group""; ""Character sheaves: Applications to finite groups""; ""Â4. Algebraic groups, general theory""; ""Real algebraic quotients""; ""Frobenius splitting of spherical varieties""; ""Generalized Kloosterman sums""; ""Symmetric k-varieties""; ""Identities for prounipotent groups""

""On the structure of nonreduced parabolic subgroup-schemes""""Â5. Representations""; ""Weight modules without highest weight""; ""Extremal composition factors for groups of Lie type""; ""Relative invariants of the polynomial rings over the finite and tame type quivers""; ""Â6. Invariant theory""; ""Hilbert series for modules of covariants""; ""The first fundamental theorem of invariant theory and spherical subgroups""; ""Algebraic families of O(2)-actions on affine space C[sup(4)]""; ""Algebraic equivariant vector bundles and the linearity problem""; ""Equivariant matrix valued functions""

""Constructive invariant theory""

Notes:

Description based upon print version of record.

Includes bibliographical references.

Description based on online resource; title from PDF title page (ebrary, viewed May 19, 2014).

ISBN:

0-8218-9357-2