Finite Coxeter groups and related structures arise naturally in several branches of mathematics such asthe theory of Lie algebras and algebraic groups. The corresponding Iwahori-Hecke algebras are thenobtained by a certain deformation process which have applications in the representation theory ofgroups of Lie type and the theory of knots and links. This book develops the theory of conjugacyclasses and irreducible character, both for finite Coxeter groups and the associated Iwahori-Heckealgebras. Topics covered range from classical results to more recent developments and are clear andconcise. This is the first book to develop these subjects both from a theoretical and an algorithmicpoint of view in a systematic way, covering all types of finite Coxeter groups.
Author....:Meinolf Geck, Gotz Pfeiffer
Title.....:Characters of Finite Coxeter Groups and Iwahori-Hecke Algebras
Publisher.:Oxford University Press, USA