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Blocks and Families for Cyclotomic Hecke Algebras

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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1981)

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Table of contents (5 chapters)

  1. Front Matter

    Pages 1-11
  2. On Commutative Algebra

    • Maria Chlouveraki
    Pages 1-19
  3. On Blocks

    • Maria Chlouveraki
    Pages 21-59
  4. On Essential Algebras

    • Maria Chlouveraki
    Pages 61-70
  5. On Hecke Algebras

    • Maria Chlouveraki
    Pages 71-89
  6. On the Determination of the Rouquier Blocks

    • Maria Chlouveraki
    Pages 91-132
  7. Back Matter

    Pages 1-32

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.

Authors and Affiliations

  • Fac. Sciences de Base, Inst. Géométrie, Algèbre et Topologie, Ecole Polytechnique Fédérale de Lausanne, Lausanne, Switzerland

    Maria Chlouveraki

Bibliographic Information

  • Book Title: Blocks and Families for Cyclotomic Hecke Algebras

  • Authors: Maria Chlouveraki

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/978-3-642-03064-2

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2009

  • Softcover ISBN: 978-3-642-03063-5Published: 21 September 2009

  • eBook ISBN: 978-3-642-03064-2Published: 29 August 2009

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: XIV, 166

  • Topics: Group Theory and Generalizations

Buy it now

Buying options

eBook USD 34.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 49.95
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access