Fr. 50.90

Blocks and Families for Cyclotomic Hecke Algebras

English · Paperback / Softback

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Description

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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.

List of contents

On Commutative Algebra.- On Blocks.- On Essential Algebras.- On Hecke Algebras.- On the Determination of the Rouquier Blocks.

Product details

Authors Maria Chlouveraki
Publisher Springer, Berlin
 
Languages English
Product format Paperback / Softback
Released 21.09.2009
 
EAN 9783642030635
ISBN 978-3-642-03063-5
No. of pages 166
Dimensions 155 mm x 235 mm x 14 mm
Weight 284 g
Illustrations XIV, 166 p.
Series Lecture Notes in Mathematics
Subjects Natural sciences, medicine, IT, technology > Mathematics > Arithmetic, algebra

Algebra, B, Group Theory, Mathematics and Statistics, Group Theory and Generalizations, representation theory, Symmetric algebras, Rouquier blocks

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