CHARACTERS OF FINITE COXETER GROUPS AND IWAHORI-HECKE ALGEBRAS by Meinolf Geck, Gotz Pfeiffer ( 9780198502500 )

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Title:

CHARACTERS OF FINITE COXETER GROUPS AND IWAHORI-HECKE ALGEBRAS

By:

Meinolf Geck, Gotz Pfeiffer

Format:

Hardback

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£212.50

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£185.94

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ISBN 10:

0198502508

ISBN 13:

9780198502500

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Publisher:

OXFORD UNIVERSITY PRESS

Pub. date:

10 August, 2000

Series:

London Mathematical Society Monographs 21

Pages:

461

Description:

Finite Coxeter groups and related structures arise naturally in several branches of mathematics, for example, Lie algebras or theory of knots and links. This is the first book which develops the character theory of finite Coxeter groups and Iwahori-Hecke algebras in a systematic way, ranging from classical results to recent developments.

Synopsis:

Finite Coxeter groups and related structures arise naturally in several branches of mathematics, for example, the theory of Lie algebras and algebraic groups. The corresponding Iwahori-Hecke algebras are obtained by a certain deformation process. They have applications in the representation theory of groups of Lie type and the theory of knots and links. The aim of this book is to develop the theory of conjugacy classes and irreducible characters, both for finite Coxeter groups and the associated Iwahori-Hecke algebras. The topics range from classical results to more recent developments and are treated in a coherent and self-contained way. This is the first book which develops these subjects both from a theoretical and an algorithmic point of view in a systematic way. All types of finite Coxeter groups are covered.

Illustrations:

numerous figures and line drawings

Publication:

Imprint:

Oxford University Press

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Returnable

Some other items by this author:

AN INTRODUCTION TO ALGEBRAIC GEOMETRY AND ALGEBRAIC GROUPS (HB)

AN INTRODUCTION TO ALGEBRAIC GEOMETRY AND ALGEBRAIC GROUPS (PB)

CHARACTER THEORY OF FINITE GROUPS OF LIE TYPE (HB)

GROUP REPRESENTATION THEORY (HB)