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.

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

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.

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.