Author: Andrew Mathas
Publisher: American Mathematical Society
Keywords: algebras, university, lecture, group, series, symmetric, hecke, schur, iwahori
Number of Pages: 188
Published: 1999-09-07
List price: $27.00
ISBN-10: 0821819267
ISBN-13: 9780821819265

This volume presents a fully self-contained introduction to the modular representation theory of the Iwahori-Hecke algebras of the symmetric groups and of the $q$-Schur algebras. The study of these algebras was pioneered by Dipper and James in a series of landmark papers. The primary goal of the book is to classify the blocks and the simple modules of both algebras. The final chapter contains a survey of recent advances and open problems. The main results are proved by showing that the Iwahori-Hecke algebras and $q$-Schur algebras are cellular algebras (in the sense of Graham and Lehrer). This