Blocks and Families for Cyclotomic Hecke Algebras

  • Maria Chlouveraki

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

Table of contents

  1. Front Matter
    Pages 1-11
  2. Maria Chlouveraki
    Pages 1-19
  3. Maria Chlouveraki
    Pages 21-59
  4. Maria Chlouveraki
    Pages 61-70
  5. Maria Chlouveraki
    Pages 71-89
  6. Maria Chlouveraki
    Pages 91-132
  7. Back Matter
    Pages 1-32

About this book

Introduction

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.

Keywords

Complex reflection groups Families of characters Hecke algebras Representation theory Rouquier blocks Symmetric algebras algebra

Authors and affiliations

  • Maria Chlouveraki
    • 1
  1. 1.Fac. Sciences de Base, Inst. Géométrie, Algèbre et TopologieEcole Polytechnique Fédérale de LausanneLausanneSwitzerland

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-03064-2
  • Copyright Information Springer-Verlag Berlin Heidelberg 2009
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-642-03063-5
  • Online ISBN 978-3-642-03064-2
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • About this book