Representation Theory of Algebraic Groups and Quantum Groups

by Gyoja, Akihiko; Nakajima, Hiraku; Shinoda, Ken-ichi; Shoji, Toshiaki; Tanisaki, Toshiyuki

• ISBN13: 9780817646967
• ISBN10: 0817646965
• Format: Hardcover
• Copyright: 2010-12-03
• Publisher: Birkhauser

Summary

This volume contains invited articles by top notch experts who focus on such topics as modular representations of algebraic groups, representations of quantum groups and crystal bases, representations of affine Lie algebras, representations of affine Hecke algebras, modular or ordinary representations of finite reductive groups, and representations of complex reflection groups and associated Hecke algebras.Invited contributors include: H.H. Andersen; T. Arakawa; S. Ariki; J. Du; M. Geck; V. Ginzburg; J.C. Jantzen; S;J. Kang; M. Kashiwara; S. Kato; G.I. Lehrer; G. Lusztig; I. Mirkovic; H. Miyachi; H. Nakajima; T. Nakashima; R. Rouquier; D. Sagaki; Y. Saito; O. Schiffmann; T. Suzuki; T. Tanisaki; and J. Xiao.

Table of Contents

Preface	p. ix
Program	p. xi
Quotient Categories of Modular Representations	p. 1
Dipper-James-Murphy's Conjecture for Hecke Algebras of Type Bn	p. 17
On Domino Insertion and Kazhdan-Lusztig Cells in Type Bn	p. 33
Runner Removal Morita Equivalences	p. 55
Appendix: Module Correspondences in Rouquier Blocks of Finite General Linear Groups	p. 81
Quantum gln, q-Schur Algebras and Their Infinite/Infinitesimal Counterparts	p. 93
Cherednik Algebras for Algebraic Curves	p. 121
A Temperley-Lieb Analogue for the BMW Algebra	p. 155
Graded Lie Algebras and Intersection Cohomology	p. 191
Crystal Base Elements of an Extremal Weight Module Fixed by a Diagram Automorphism II: Case of Affine Lie Algebras	p. 225
t-Analogs of q-Characters of Quantum Affine Algebras of Type E6, E7, E8	p. 257
Ultra-Discretization of the G(1)2-Geometric Crystals to the D(3)4-Perfect Crystals	p. 273
On Hecke Algebras Associated with Elliptic Root Systems	p. 297
Green's Formula with C*-Action and Caldero-Keller's Formula for Cluster Algebras	p. 313
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