Blocks and Families for Cyclotomic Hecke Algebras / by Maria Chlouveraki.

Format:

Book

Author/Creator:

Chlouveraki, Maria, author.

Contributor:

SpringerLink (Online service)

Series:

Lecture Notes in Mathematics, 0075-8434 ; 1981.

Lecture Notes in Mathematics, 0075-8434 ; 1981

Language:

English

Subjects (All):

Group theory.

Group Theory and Generalizations.

Local Subjects:

Group Theory and Generalizations.

Physical Description:

1 online resource (XIV, 166 pages).

Contained In:

Springer eBooks

Place of Publication:

Berlin, Heidelberg : Springer Berlin Heidelberg, 2009.

System Details:

text file PDF

Summary:

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.

Contents:

On Commutative Algebra

On Blocks

On Essential Algebras

On Hecke Algebras

On the Determination of the Rouquier Blocks.

Other Format:

Printed edition:

ISBN:

9783642030642

Access Restriction:

Restricted for use by site license.