SRC/LMS Research Symposium on Representations of Lie Groups (1977 : Oxford, England)
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.
- Cambridge : Cambridge University Press, 1980.
- 1 online resource (v, 341 pages) : digital, PDF file(s).
- London Mathematical Society lecture note series ; 34 .
- London Mathematical Society lecture note series ; 34. .
Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Origins and early history of the theory of unitary group representations / Induced representations / The geometry and representation theory of compact Lie groups / Algebraic structure of Lie groups / Lie groups and physics / The Harish-Chandra character / Representations of semi-simple Lie groups / Invariant differential operators and eigenspace representations / Quantization and representation theory / Integral geometry and representation theory / On the reflection representation of a finite Chevalley group / G.W. Mackey -- G.W. Mackey -- R. Bott -- I.G. MacDonald -- D.J. Simms -- M.F. Atiyah -- W. Schmid -- S. Helgason -- B. Kostant -- D. Kazhdan -- G. Lusztig.
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.