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Representation Theories and Algebraic Geometry

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Description

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.
Release date Australia
December 15th, 2010
Audience
  • Professional & Vocational
Contributors
  • Edited by A. Broer
  • Other adaptation by Gert Sabidussi
Edition
Softcover reprint of hardcover 1st ed. 1998
Illustrations
XXII, 444 p.
Pages
444
Dimensions
156x234x24
ISBN-13
9789048150755
Product ID
11075716

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