Algebra and Applications

Kazhdan-Lusztig Cells with Unequal Parameters

Authors: Bonnafé, Cédric

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  • Provides a self-contained introduction to Kazhdan-Lusztig cells
  • Includes figures of the partition into cells for small finite, affine, or hyperbolic Coxeter groups
  • Explains Geck and Guilhot induction results, as well as the action of the cactus group
  • Reviews and adds substantial results to an active field of research
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eBook $109.00
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  • ISBN 978-3-319-70736-5
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Hardcover $139.99
price for USA in USD
  • ISBN 978-3-319-70735-8
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Softcover $139.99
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  • ISBN 978-3-030-09986-2
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  • Usually ready to be dispatched within 3 to 5 business days, if in stock
About this book

This monograph provides a comprehensive introduction to the Kazhdan-Lusztig theory of cells in the broader context of the unequal parameter case.

Serving as a useful reference, the present volume offers a synthesis of significant advances made since Lusztig’s seminal work on the subject was published in 2002. The focus lies on the combinatorics of the partition into cells for general Coxeter groups, with special attention given to induction methods, cellular maps and the role of Lusztig's conjectures. Using only algebraic and combinatorial methods, the author carefully develops proofs, discusses open conjectures, and presents recent research, including a chapter on the action of the cactus group.

Kazhdan-Lusztig Cells with Unequal Parameters will appeal to graduate students and researchers interested in related subject areas, such as Lie theory, representation theory, and combinatorics of Coxeter groups. Useful examples and various exercises make this book suitable for self-study and use alongside lecture courses.


Information for readers: The character {\mathbb{Z}} has been corrupted in the print edition of this book and appears incorrectly with a diagonal line running through the symbol.

About the authors

Cédric Bonnafé is an expert in representation theory of finite reductive groups and related objects (such as Hecke algebras or rational Cherednik algebras). He is the author of several papers on the Kazhdan-Lusztig theory of cells.

Table of contents (26 chapters)

Table of contents (26 chapters)

Buy this book

eBook $109.00
price for USA in USD
  • ISBN 978-3-319-70736-5
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $139.99
price for USA in USD
  • ISBN 978-3-319-70735-8
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
Softcover $139.99
price for USA in USD
  • ISBN 978-3-030-09986-2
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Bibliographic Information

Bibliographic Information
Book Title
Kazhdan-Lusztig Cells with Unequal Parameters
Authors
Series Title
Algebra and Applications
Series Volume
24
Copyright
2017
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG, part of Springer Nature
eBook ISBN
978-3-319-70736-5
DOI
10.1007/978-3-319-70736-5
Hardcover ISBN
978-3-319-70735-8
Softcover ISBN
978-3-030-09986-2
Series ISSN
1572-5553
Edition Number
1
Number of Pages
XXV, 348
Number of Illustrations
13 b/w illustrations, 15 illustrations in colour
Topics