Characters of Finite Coxeter Groups and Iwahori-Hecke Algebras

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

• 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

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.