Blocks and Families for Cyclotomic Hecke Algebras

This document was uploaded by one of our users. The uploader already confirmed that they had the permission to publish it. If you are author/publisher or own the copyright of this documents, please report to us by using this DMCA report form.

Simply click on the Download Book button.

Yes, Book downloads on Ebookily are 100% Free.

Sometimes the book is free on Amazon As well, so go ahead and hit "Search on Amazon"

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.

Author(s): Maria Chlouveraki (auth.)
Series: Lecture Notes in Mathematics 1981
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 2009

Language: English
Pages: 166
Tags: Group Theory and Generalizations

Front Matter....Pages 1-11
On Commutative Algebra....Pages 1-19
On Blocks....Pages 21-59
On Essential Algebras....Pages 61-70
On Hecke Algebras....Pages 71-89
On the Determination of the Rouquier Blocks....Pages 91-132
Back Matter....Pages 1-32