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

Arun Ram
Department of Mathematics and Statistics
University of Melbourne
Parkville, VIC 3010 Australia
aram@unimelb.edu.au

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.$$Preliminaries

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

Chapter 2.$$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.$$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

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