Characters of Finite Coxeter Groups and Iwahori-Hecke Algebras

Inbunden, Engelska, 2000

Del 21 i serien London Mathematical Society Monographs

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2000-08-10
Mått:164 x 242 x 31 mm
Vikt:852 g
Format:Inbunden
Språk:Engelska
Serie:London Mathematical Society Monographs
Antal sidor:461
Förlag:OUP OXFORD
ISBN:9780198502500

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Mer om författaren

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

Recensioner i media

An important book ... The authors make full use of recent advances ... The book is both a valuable resource for the expert and good starting point for the beginning researcher in this field ... this is a very fine book which belongs on the shelves of anyone who is interested in the representation theory of Coxeter groups, Iwahori-Hecke algebras and, more generally, the groups of Lie type.

Innehållsförteckning

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