## Representations of Hecke Algebras of Finite Groups with BN-Pairs of Classical Type

Last update: 8 June 2014

## Notes and References

This is a typed copy of Peter Norbert Hoefsmit's thesis Representations of Hecke Algebras of Finite Groups with BN-Pairs of Classical Type published in August, 1974.

## Contents

Acknowledgements

Introduction

Chapter 1.$\phantom{\rule{1em}{0ex}}$Preliminaries

 1 Partitions and Tableaux 2 The Semi-Normal Representations of the Symmetric Group

Chapter 2.$\phantom{\rule{1em}{0ex}}$Representations of the Generic Ring Corresponding to a Coxeter System of Classical Type

 1 Hecke Algebras and Finite Groups with BN-Pairs 2 The Representations of ${𝒜}^{K}\left({B}_{n}\right)$ 3 The Representations of ${𝒜}^{K}\left({A}_{n}\right)$ and ${𝒜}^{K}\left({D}_{n}\right)$

Chapter 3.$\phantom{\rule{1em}{0ex}}$Degrees of the Irreducible Constituents of ${1}_{B}^{G}$

 1 Definitions and Characters of Parabolic Type 2 An Induction Formula 3 The Evaluation of ${E}^{\left({\mu }_{c}-\right)}$ 4 Generic Degrees

Bibliography