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Algebraic Groups and Their Generalizations : Proceedings of Symposia in Pure Mathematics - William J. Haboush

Algebraic Groups and Their Generalizations

Proceedings of Symposia in Pure Mathematics

By: William J. Haboush (Editor), Brian J. Parshall (Editor)

Hardcover Published: January 1994
ISBN: 9780821814970
Number Of Pages: 2

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These volumes contain papers based on lectures presented at the conference, "Algebraic Groups and Their Generalizations", held at Pennsylvania State University in July 1991. An outgrowth of the remarkable proliferation of Lie theory in the last fifteen years, this conference reflected both the diversification of technique in the classical theory and the beginnings of the study of new objects. These new objects include quantum groups and vertex operator algebras, as well as various kinds of infinite-dimensional groups and algebras inspired by new work in mathematical physics and quantum field theory. The first volume focuses on classical methods, while the second centres on quantum and infinite-dimensional methods. Each section begins with expositions and then turns to new results. This collection provides readers with an excellent introduction to these astonishing new mathematical worlds.

Classical methods: Sur les decompositions cellulaires des espaces $G/B$
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
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
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
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
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 $\mathbf C^4$
Algebraic equivariant vector bundles and the linearity problem
Equivariant matrix valued functions
Constructive invariant theory
Quantum and infinite-dimensional methods: Finite dimensional representations of quantum groups
An Introduction to quantum groups
Examples of compact matrix pseudogroups arising from Drinfeld's twisting operation
Face algebras and their Drinfeld doubles
Representation theory for quantized enveloping algebras
Rational representations of Hopf algebras
Filtrations of modules over the quantum algebra
Quantum groups as invariance groups
The quantum hyperalgebra of $SL_q(2)$
IC bases and quantum linear groups
Bases for quantum Demazure modules. II
Problems on canonical bases
$2$-categories and Zamolodchikov tetrahedra equations
Abelian intertwining algebras–A generalization of vertex operator algebras
Discrete series of the Virasoro algebra and the moonshine module
Constructions of vertex operator algebras
Binary trees and finite-dimensional Lie algebras
Holomorphic line bundles over Hilbert flag varieties
New classes of infinite-dimensional Lie groups
On forms of Kac-Moody algebras
Semi-infinite cohomology of Lie algebras
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780821814970
ISBN-10: 0821814974
Series: Proceedings of Symposia in Pure Mathematics
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 2
Published: January 1994
Publisher: American Mathematical Society
Country of Publication: US
Dimensions (cm): 26.04 x 18.42  x 5.08
Weight (kg): 1.81

Earn 515 Qantas Points
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