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

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.

• 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

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

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.

• 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

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

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.

• 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