M. F. Atiyah

Representation Theory of Lie Groups (eBook, PDF)

• Format: PDF

Produktbeschreibung

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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Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 31. Januar 1980
• Englisch
• ISBN-13: 9781107107519
• Artikelnr.: 39025335

Inhaltsangabe

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.