Representation Theory of Algebraic Groups and Quantum Groups

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 representati...

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Bibliographic Details
Corporate Author: SpringerLink (Online service)
Other Authors: Gyoja, Akihiko (Editor), Nakajima, Hiraku (Editor), Shinoda, Ken-ichi (Editor), Shoji, Toshiaki (Editor), Tanisaki, Toshiyuki (Editor)
Format: Electronic eBook
Language:English
Published: Boston : Birkhäuser Boston, 2010.
Edition:1.
Series:Progress in Mathematics ; 284
Subjects:
Online Access:Full Text via HEAL-Link
Table of Contents:
  • Quotient Categories of Modular Representations
  • Dipper–James–Murphy’s Conjecture for Hecke Algebras of Type Bn
  • On Domino Insertion and Kazhdan–Lusztig Cells in Type Bn
  • Runner Removal Morita Equivalences
  • Quantum q-Schur Algebras and Their Infinite/Infinitesimal Counterparts
  • Cherednik Algebras for Algebraic Curves
  • A Temperley–Lieb Analogue for the BMW Algebra
  • Graded Lie Algebras and Intersection Cohomology
  • Crystal Base Elements of an ExtremalWeight Module Fixed by a Diagram Automorphism II: Case of Affine Lie Algebras
  • t-Analogs of q-Characters of Quantum Affine Algebras of Type E6, E7, E8
  • Ultra-Discretization of the affine G_2 Geometric Crystals to Perfect Crystals
  • On Hecke Algebras Associated with Elliptic Root Systems
  • Green’s Formula with ?*-Action and Caldero–Keller’s Formula for Cluster Algebras.