Pub. Date:
Cambridge University Press
Representation Theory of Lie Groups

Representation Theory of Lie Groups


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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.

Product Details

ISBN-13: 9780521226363
Publisher: Cambridge University Press
Publication date: 01/31/1980
Series: London Mathematical Society Lecture Note Series , #34
Pages: 348
Product dimensions: 5.98(w) x 8.98(h) x 0.79(d)

Table of Contents

1. Introduction M. F. Atiyah; Part I. 2. Origins and early history of the theory of unitary group representations G. W. Mackey; 3. Induced representations G. W. Mackey; 4. The geometry and representation theory of compact Lie groups R. Bott; 5. Algebraic structure of Lie groups I. G. Macdonald; 6. Lie groups and physics D. J. Simms; 7. The Harish-Chandra character M. F. Atiyah; Part II. 8. Representation of semi-simple Lie groups W. Schmid; 9. Invariant differential operators and eigenspace representations S. Helgason; 10. Quantization and representation theory B. Kostant; 11. Integral geometry and representation theory D. Kazhdan; 12. On the reflection representation of a finite Chevalley group G. Lusztig.

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