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Lecture Notes in Mathematics
cover

Blocks and Families for Cyclotomic Hecke Algebras

Authors: Chlouveraki, Maria

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About this book

The definition of Rouquier for the families of characters introduced by Lusztig for Weyl groups in terms of blocks of the Hecke algebras has made possible the generalization of this notion to the case of complex reflection groups. The aim of this book is to study the blocks and to determine the families of characters for all cyclotomic Hecke algebras associated to complex reflection groups.
This volume offers a thorough study of symmetric algebras, covering topics such as block theory, representation theory and Clifford theory, and can also serve as an introduction to the Hecke algebras of complex reflection groups.

Table of contents (5 chapters)

Table of contents (5 chapters)
  • On Commutative Algebra

    Pages 1-19

    Chlouveraki, Maria

  • On Blocks

    Pages 21-59

    Chlouveraki, Maria

  • On Essential Algebras

    Pages 61-70

    Chlouveraki, Maria

  • On Hecke Algebras

    Pages 71-89

    Chlouveraki, Maria

  • On the Determination of the Rouquier Blocks

    Pages 91-132

    Chlouveraki, Maria

Buy this book

eBook $34.99
price for USA in USD
  • ISBN 978-3-642-03064-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $49.95
price for USA in USD
  • ISBN 978-3-642-03063-5
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Blocks and Families for Cyclotomic Hecke Algebras
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
1981
Copyright
2009
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-03064-2
DOI
10.1007/978-3-642-03064-2
Softcover ISBN
978-3-642-03063-5
Series ISSN
0075-8434
Edition Number
1
Number of Pages
XIV, 166
Topics

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