Skip to main content
SpringerLink
Log in
Birkhäuser
Book cover

Representation Theory of Algebraic Groups and Quantum Groups

  • Book
  • © 2010

Overview

Editors:
  1. Akihiko Gyoja

    1. Graduate School of Mathematics, Nagoya University, Nagoya, Japan

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  2. Hiraku Nakajima

    1. Research Institute for Mathematical Scie, Kyoto University, Kyoto, Japan

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  3. Ken-ichi Shinoda

    1. Faculty of Science and Technology, Sophia University, Tokyo, Japan

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  4. Toshiaki Shoji

    1. Graduate School of Mathematics, Nagoya University, Nagoya, Japan

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  5. Toshiyuki Tanisaki

    1. Graduate School of Science, Osaka City University, Osaka, Japan

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  • Invited articles by top-notch experts
  • Focus is on topics in representation theory of algebraic groups and quantum groups
  • Of interest to graduate students and researchers in representation theory, group theory, algebraic geometry, quantum theory and math physics
  • Includes supplementary material: sn.pub/extras

Part of the book series: Progress in Mathematics (PM, volume 284)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (13 chapters)

  1. Front Matter

    Pages i-xiii
    Download chapter PDF

  2. Quotient Categories of Modular Representations

    • Henning Haahr Andersen
    Pages 1-16

  3. Dipper–James–Murphy’s Conjecture for Hecke Algebras of Type B n

    • Susumu Ariki, Nicolas Jacon
    Pages 17-32

  4. On Domino Insertion and Kazhdan–Lusztig Cells in Type B n

    • CĂ©dric BonnafĂ©, Meinolf Geck, Lacrimioara Iancu, Thomas Lam
    Pages 33-54

  5. Runner Removal Morita Equivalences

    • Joseph Chuang, Hyohe Miyachi
    Pages 55-92

  6. Quantum \(\mathfrak{gl}_n,\) q-Schur Algebras and Their Infinite/Infinitesimal Counterparts

    • Jie Du, Qiang Fu
    Pages 93-119

  7. Cherednik Algebras for Algebraic Curves

    • Michael Finkelberg, Victor Ginzburg
    Pages 121-153

  8. A Temperley–Lieb Analogue for the BMW Algebra

    • G. I. Lehrer, R. B. Zhang
    Pages 155-190

  9. Graded Lie Algebras and Intersection Cohomology

    • G. Lusztig
    Pages 191-224

  10. Crystal Base Elements of an ExtremalWeight Module Fixed by a Diagram Automorphism II: Case of Affine Lie Algebras

    • Satoshi Naito, Daisuke Sagaki
    Pages 225-255

  11. t-Analogs of q-Characters of Quantum Affine Algebras of Type E6, E7, E8

    • Hiraku Nakajima
    Pages 257-272

  12. Ultra-Discretization of the affine G_2 Geometric Crystals to Perfect Crystals

    • Toshiki Nakashima
    Pages 273-296

  13. On Hecke Algebras Associated with Elliptic Root Systems

    • Yoshihisa Saito, Midori Shiota
    Pages 297-312

  14. Green’s Formula with ℂ*-Action and Caldero–Keller’s Formula for Cluster Algebras

    • Jie Xiao, Fan Xu
    Pages 313-348
Back to top

Keywords

About this book

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

Editors and Affiliations

  • Graduate School of Mathematics, Nagoya University, Nagoya, Japan

    Akihiko Gyoja, Toshiaki Shoji

  • Research Institute for Mathematical Scie, Kyoto University, Kyoto, Japan

    Hiraku Nakajima

  • Faculty of Science and Technology, Sophia University, Tokyo, Japan

    Ken-ichi Shinoda

  • Graduate School of Science, Osaka City University, Osaka, Japan

    Toshiyuki Tanisaki

Bibliographic Information

Publish with us

Policies and ethics

Back to top

Search

Navigation