Progress in Mathematics

Representation Theory of Algebraic Groups and Quantum Groups

Editors: Gyoja, A., Nakajima, H., Shinoda, K.-i., Shoji, T., Tanisaki, T. (Eds.)

  • Presents invited articles by top-notch experts
  • Focuses on topics in representation theory of algebraic groups and quantum groups
  • Features coverage of interest to graduate students and researchers in representation theory, group theory, algebraic geometry, quantum theory and math physics
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eBook $149.00
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  • ISBN 978-0-8176-4697-4
  • Digitally watermarked, DRM-free
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  • Immediate eBook download after purchase
Hardcover $199.00
price for USA
  • ISBN 978-0-8176-4696-7
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  • Usually dispatched within 3 to 5 business days.
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

Table of contents (13 chapters)

  • Quotient Categories of Modular Representations

    Andersen, Henning Haahr

    Pages 1-16

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

    Ariki, Susumu (et al.)

    Pages 17-32

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

    Bonnafé, Cédric (et al.)

    Pages 33-54

  • Runner Removal Morita Equivalences

    Chuang, Joseph (et al.)

    Pages 55-92

  • Quantum $$\mathfrak{gl}_n,$$ q-Schur Algebras and Their Infinite/Infinitesimal Counterparts

    Du, Jie (et al.)

    Pages 93-119

Buy this book

eBook $149.00
price for USA (gross)
  • ISBN 978-0-8176-4697-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $199.00
price for USA
  • ISBN 978-0-8176-4696-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Representation Theory of Algebraic Groups and Quantum Groups
Editors
  • Akihiko Gyoja
  • Hiraku Nakajima
  • Ken-ichi Shinoda
  • Toshiaki Shoji
  • Toshiyuki Tanisaki
Series Title
Progress in Mathematics
Series Volume
284
Copyright
2010
Publisher
Birkhäuser Basel
Copyright Holder
Springer Science+Business Media, LLC
eBook ISBN
978-0-8176-4697-4
DOI
10.1007/978-0-8176-4697-4
Hardcover ISBN
978-0-8176-4696-7
Series ISSN
0743-1643
Edition Number
1
Number of Pages
XIII, 348
Number of Illustrations and Tables
10 b/w illustrations
Topics