Representation Theories and Algebraic Geometry
By: edited by Abraham Broer, A. Daigneault, Gert Sabidussi
Contributors: Daigneault, A.; Sabidussi, Gert
Series: Nato ASI Series, Series C: Mathematical and Physical Sciences -- 514; Nato ASI Series, Series C: Mathematical and Physical Sciences -- 514
Publisher: Springer Netherlands
Published: 1998
Place of publication: Dordrecht
Language: eng
Format: [electronic resource] /
Number of pages: 443
ISBN-13: 9789048150755; 9789401591317
Subjects: Group theory; Mathematics; Geometry, algebraic; Topological Groups; Algebra
Other titles: Proceedings of the NATO Advanced Study Institute, Montreal, Canada, July 28-August 8, 1997
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.
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