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.
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ISBN-13
978-0-511-66268-3 (9780511662683)
Schweitzer Klassifikation
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.
