1.

Record Nr.

UNINA9910483482803321

Autore

Chlouveraki Maria

Titolo

Blocks and families for cyclotomic Hecke algebras / / Maria Chlouveraki

Pubbl/distr/stampa

Berlin, : Springer, c2009

ISBN

9783642030642

3642030645

Descrizione fisica

1 online resource (XIV, 166 p.)

Collana

Lecture notes in mathematics ; ; 1981

Classificazione

20C0820F5520F26

MAT 202f

SI 850

Disciplina

512.2222gerDNB

Soggetti

Cyclotomy

Hecke algebras

Representations of groups

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di bibliografia

Includes bibliographical references (p. 155-157) and index.

Nota di contenuto

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

Sommario/riassunto

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.