Meinolf Geck, Götz Pfeiffer

Characters of Finite Coxeter Groups and Iwahori-Hecke Algebras

• Gebundenes Buch

Produktbeschreibung

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.

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Produktdetails

• Verlag: Early English Text Society
• Seitenzahl: 461
• Erscheinungstermin: 12. Oktober 2000
• Englisch
• Abmessung: 234mm x 156mm x 25mm
• Gewicht: 821g
• ISBN-13: 9780198502500
• ISBN-10: 0198502508
• Artikelnr.: 22260023

Autorenporträt

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

Inhaltsangabe

* 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
8 Iwahori-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