Representation theory of Lie groups : proceedings of the SRC/LMS Research Symposium on Representations of Lie Groups, Oxford, 28 June-15 July 1977 / M.F. Atiyah [and others] ; with the editorial assistance of G.L. Luke.

Format:

Book

Conference/Event

Author/Creator:

SRC/LMS Research Symposium on Representations of Lie Groups, Corporate Author.

Atiyah, Michael Francis, 1929- author.

Contributor:

Luke, G. L. (Glenys L.), editor.

Science Research Council (Great Britain), host institution.

London Mathematical Society, host institution.

Conference Name:

SRC/LMS Research Symposium on Representations of Lie Groups (1977 : Oxford, England)

SRC/LMS Research Symposium on Representations of Lie Groups

Series:

London Mathematical Society lecture note series ; 34.

London Mathematical Society lecture note series ; 34

Language:

English

Subjects (All):

Representations of Lie groups--Congresses.

Representations of Lie groups.

Physical Description:

1 online resource (v, 341 pages) : digital, PDF file(s).

Place of Publication:

Cambridge : Cambridge University Press, 1980.

Language Note:

English

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 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.

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.

Notes:

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Includes bibliographical references and index.

ISBN:

1-139-88379-8

1-107-08713-9

1-107-10204-9

1-107-09951-X

1-107-09333-3

1-107-09016-4

0-511-66268-8