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Representation Theory of Algebraic Groups and Quantum Groups / edited by Akihiko Gyoja, Hiraku Nakajima, Ken-ichi Shinoda, Toshiaki Shoji, Toshiyuki Tanisaki
(Progress in Mathematics. ISSN:2296505X ; 284)

1st ed. 2010.
出版者 (Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser)
出版年 2010
本文言語 英語
大きさ XIII, 348 p. 10 illus : online resource
著者標目 Gyoja, Akihiko editor
Nakajima, Hiraku editor
Shinoda, Ken-ichi editor
Shoji, Toshiaki editor
Tanisaki, Toshiyuki editor
SpringerLink (Online service)
件 名 LCSH:Group theory
LCSH:Algebraic geometry
LCSH:Topological groups
LCSH:Lie groups
LCSH:Nonassociative rings
LCSH:Number theory
LCSH:Mathematical physics
FREE:Group Theory and Generalizations
FREE:Algebraic Geometry
FREE:Topological Groups and Lie Groups
FREE:Non-associative Rings and Algebras
FREE:Number Theory
FREE:Mathematical Methods in Physics
一般注記 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
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. Representation Theory of Algebraic Groups and Quantum Groups is intended for graduate students and researchers in representation theory, group theory, algebraic geometry, quantum theory and math physics. Contributors: H. H. Andersen, S. Ariki, C. Bonnafé, J. Chuang, J. Du, M. Finkelberg, Q. Fu, M. Geck, V. Ginzburg, A. Hida, L. Iancu, N. Jacon, T. Lam, G.I. Lehrer, G. Lusztig, H. Miyachi, S. Naito, H. Nakajima, T. Nakashima, D. Sagaki, Y. Saito, M. Shiota, J. Xiao, F. Xu, R. B. Zhang
HTTP:URL=https://doi.org/10.1007/978-0-8176-4697-4
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分 類 LCC:QA174-183
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書誌ID 4000115279
ISBN 9780817646974

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