1979Cambridge University Press eBooksRequires access

Representation theory of Lie groups : proceedings of the SRC/LMS Research Symposium on Representations of Lie Groups, Oxford, 28 June-15 July 1977

Michael Atiyah, Glenys Luke

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Abstract

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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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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Available abstract

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.

Key concepts: Representation theory, Simple Lie group, Mathematics, Lie group, Fundamental representation, Representation of a Lie group, Representation theory of SU, Unitary representation

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Representation theory of Lie groups : proceedings of the SRC/LMS Research Symposium on Representations of Lie Groups, Oxford, 28 June-15 July 1977 — Research Paper | ScholarLens