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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

Author: Michael Francis Atiyah; G L Luke; Science Research Council (Great Britain); London Mathematical Society.
Publisher: Cambridge [England] ; New York : Cambridge University Press, 1979.
Series: London Mathematical Society lecture note series, 34.
Edition/Format:   Print book : Conference publication : EnglishView all editions and formats
Database:WorldCat
Summary:
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  Read more...
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Genre/Form: Conference proceedings
Kongress
Congresses
Congrès
Material Type: Conference publication, Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Michael Francis Atiyah; G L Luke; Science Research Council (Great Britain); London Mathematical Society.
ISBN: 0521226368 9780521226363
OCLC Number: 6060212
Description: v, 341 pages ; 23 cm.
Contents: Origins and early history of the theory of unitary group representations / G.W. Mackey --
Induced representations / G.W. Mackey --
The geometry and representation theory of compact Lie groups / R. Bott --
Algebraic structure of Lie groups / I.G. MacDonald --
Lie groups and physics / D.J. Simms --
The Harish-Chandra character / M.F. Atiyah --
Representations of semi-simple Lie groups / W. Schmid --
Invariant differential operators and eigenspace representations / S. Helgason --
Quantization and representation theory / B. Kostant --
Integral geometry and representation theory / D. Kazhdan --
On the reflection representation of a finite Chevalley group / G. Lusztig.
Series Title: London Mathematical Society lecture note series, 34.
Responsibility: M.F. Atiyah [and others] ; with the editorial assistance of G.L. Luke.
More information:

Abstract:

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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