Characters of Finite Coxeter Groups and Iwahori-Hecke Algebras

Hardcover | June 15, 2000

byMeinolf Geck, Gotz Pfeiffer

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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 representationtheory 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 recentdevelopments 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.

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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 representationtheory of groups of Lie type and the theory of...

Meinolf Geck, Professor of Mathematics at the University of Lyon, France. Gotz Pfeiffer, Lecturer in Mathematics, National University of Ireland at Galway, Ireland

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Hardcover|Jul 30 2004

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Format:HardcoverPublished:June 15, 2000Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0198502508

ISBN - 13:9780198502500

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Table of Contents

1 Cartan matrices and finite Coxeter groups; 2 Parabolic subgroups; 3 Conjugacy classes and special elements; 4 The Braid monoid and good elements; 5 Irreducible characters of finite Coxeter groups; 6 Parabolic subgroups and induced characters; 7 Representation theory of symmetric algebras; 8Iwahori-Hecke algebras; 9 Characters of Iwahori-Hecke algebras; 10 Character values in classical types; 11 Computing character values and generic degrees; Appendix: Tables for the exceptional types; References

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"The contents of the book are well organized ... the chapters can be read independently of each other."--Mathematical Reviews