Advanced Studies in Pure Mathematics
Volume: 40; 2004; 512 pp; Hardcover
MSC: Primary 17; 20; Secondary 14; 16; 22
Print ISBN: 978-4-931469-25-9
Product Code: ASPM/40
List Price: $116.00
Individual Member Price: $92.80
Representation Theory of Algebraic Groups and Quantum GroupsShare this page
Edited by Toshiaki Shoji; Masaki Kashiwara; Noriaki Kawanaka; George Lusztig; Ken-ichi Shinoda
A publication of the Mathematical Society of Japan
This book is a collection of research and survey papers
written by speakers at the Mathematical Society of Japan's 10th
International Conference. It presents a comprehensive overview of
developments in representation theory of algebraic groups and quantum
groups. Particularly noteworthy are papers containing remarkable
results concerning Lusztig's conjecture on cells in affine Weyl
The following topics were discussed: cells in affine Weyl groups, tilting modules, tensor categories attached to cells in affine Weyl groups, representations of algebraic groups in positive characteristic, representations of Hecke algebras, Ariki-Koike and cyclotomic \(q\)-Schur algebras, cellular algebras and diagram algebras, Gelfand-Graev representations of finite reductive groups, Green functions associated to complex reflection groups, induction theorem for Springer representations, representations of Lie algebras in positive characteristic, representations of quantum affine algebras, extremal weight modules, crystal bases, tropical Robinson-Schensted-Knuth correspondence and more.
The material is suitable for graduate students and research mathematicians interested in representation theory of algebraic groups, Hecke algebras, quantum groups, and combinatorial theory.
Published for the Mathematical Society of Japan by Kinokuniya, Tokyo, and distributed worldwide, except in Japan, by the AMS.
Volumes in this series are freely available electronically 5 years post-publication.
Table of Contents
Table of Contents
Representation Theory of Algebraic Groups and Quantum Groups
Graduate students and research mathematicians interested in algebra, algebraic geometry, mathematical physics, and combinatorial theory.