Last update: 8 June 2014
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.
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 ${\mathcal{A}}^{K}\left({B}_{n}\right)$ |
3. | The Representations of ${\mathcal{A}}^{K}\left({A}_{n}\right)$ and ${\mathcal{A}}^{K}\left({D}_{n}\right)$ |
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 ${E}^{({\mu}_{c}-)}$ |
4. | Generic Degrees |
Bibliography