Contents

pp v-vi

1 - Introduction

pp 1-2

PART I

pp 3-4

2 - Origins and early history of the theory of unitary group representations

pp 5-19

3 - Induced representations

pp 20-64

4 - The geometry and representation theory of compact Lie groups

pp 65-90

5 - Algebraic structure of Lie groups

pp 91-150

6 - Lie groups and physics

pp 151-175

7 - The Harish-Chandra character

pp 176-182

PART II

pp 183-184

8 - Representations of semi-simple Lie groups

pp 185-235

9 - Invariant differential operators and eigenspace representations

pp 236-286

10 - Quantization and representation theory

pp 287-316

11 - Integral geometry and representation theory

pp 317-324

12 - On the reflection representation of a finite Chevalley group

pp 325-338

Index

pp 339-341