Representation Theory of Lie Groups

Lie groups and their representations occupy an important place in mathematics with applications in such diverse fields as differential geometry, number theory, differential equations and physics. In 1977 a symposium was held in Oxford to introduce this rapidly developing and expanding subject to non-specialists. This volume contains the lectures of ten distinguished mathematicians designed to provide the reader with a deeper understanding of the fundamental theory and appreciate the range of results. This volume contains much to interest mathematicians and theoretical physicists from advanced undergraduate level upwards.

Introduction

Origins and early history of the theory of unitary group representations
Induced representations
The geometry and representation theory of compact Lie groups
Algebraic structure of Lie groups
Lie groups and physics
The Harish-Chandra character

Representation of semi-simple Lie groups
Invariant differential operators and eigenspace representations
Quantization and representation theory
Integral geometry and representation theory
On the reflection representation of a finite Chevalley group
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Representation Theory of Lie Groups

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