edited by Abraham Broer, A. Daigneault, Gert Sabidussi.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Dordrecht :
Name of Publisher, Distributor, etc.
Imprint: Springer,
Date of Publication, Distribution, etc.
1998.
SERIES
Series Title
Nato ASI Series, Series C: Mathematical and Physical Sciences,
Volume Designation
514
ISSN of Series
1389-2185 ;
CONTENTS NOTE
Text of Note
Equivariant cohomology and equivariant intersection theory -- Lectures on decomposition classes -- Instantons and Kähler geometry of nilpotent orbits -- Geometric methods in the representation theory of Hecke algebras and quantum groups -- Representations of Lie algebras in prime characteristic -- Sur l'annulateur d'un module de Verma -- Some remarks on multiplicity free spaces -- Standard Monomial Theory and applications -- Canonical bases and Hall algebras -- Combinatorics of Harish-Chandra modules -- Schubert varieties and generalizations.
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SUMMARY OR ABSTRACT
Text of Note
The 12 lectures presented in Representation Theories and Algebraic Geometry focus on the very rich and powerful interplay between algebraic geometry and the representation theories of various modern mathematical structures, such as reductive groups, quantum groups, Hecke algebras, restricted Lie algebras, and their companions. This interplay has been extensively exploited during recent years, resulting in great progress in these representation theories. Conversely, a great stimulus has been given to the development of such geometric theories as D-modules, perverse sheafs and equivariant intersection cohomology. The range of topics covered is wide, from equivariant Chow groups, decomposition classes and Schubert varieties, multiplicity free actions, convolution algebras, standard monomial theory, and canonical bases, to annihilators of quantum Verma modules, modular representation theory of Lie algebras and combinatorics of representation categories of Harish-Chandra modules.
OTHER EDITION IN ANOTHER MEDIUM
International Standard Book Number
9789048150755
PIECE
Title
Springer eBooks
PARALLEL TITLE PROPER
Parallel Title
Proceedings of the NATO Advanced Study Institute, Montreal, Canada, July 28-August 8, 1997