Characters of Finite Coxeter Groups and Iwahori-Hecke Algebras

• First systematic treatment of topic. Applications to many areas of current interest: representation of Lie groups, theory of knots and links. Book will provide reference point for future investigations. Includes algorithmic aspects and links to computer algebra systems, like GAP and MAPLE. Topics developed in a pedagogical way, suitable for post-graduate courses or seminars.

Readership: Students of mathematics (algebra, group theory), from graduate level upwards. Researchers and lecturers in mathematics, in the following areas: algebra, group theory, computational group theory, representation theory.

Meinolf Geck, Department of Mathematics, University of Lyon, France, and Götz Pfeiffer, Department of Mathematics, National University of Ireland, Galway

"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." - Zentralblatt MATH

"What makes the book especially valuable are the facts that the authors develop the various necessary theories nearly from the scratch ... and that they include the algorithmic theory as well." - Monatshefte för Mathematick

"Written in an engaging and intelligible style ... well structured and clearly printed." - EMS

"It will be a valuable reference for many years to come." - Bulletin of the LMS

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