Characters of Finite Coxeter Groups and Iwahori-Hecke Algebras

Name: Characters of Finite Coxeter Groups and Iwahori-Hecke Algebras
Price: 207.53 USD
Availability: InStock
ISBN: 9780198502500

ISBN-10: 0198502508

ISBN-13: 9780198502500

Edition: 2000

Authors: Meinolf Geck, Gï¿½tz Pfeiffer

List price: $265.00

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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…

Book details

List price: $265.00
Copyright year: 2000
Publisher: Oxford University Press, Incorporated
Publication date: 10/12/2000
Binding: Hardcover
Pages: 461
Size: 6.30" wide x 9.21" long x 1.22" tall
Weight: 1.870
Language: English




Cartan matrices and finite Coxeter groups



Parabolic subgroups



Conjugacy classes and special elements



The braid monoid and good elements



Irreducible characters of finite Coxeter groups



Parabolic subgroups and induced characters



Representation theory of symmetric algebras



Iwahori-Hecke algebras



Characters of Iwahori-Hecke alebras



Character values in classical types



Computing character values and generic degrees


Appendix: Tables for the exceptional types


References


Index