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.
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Atiyah, Michael Francis, 1929-
Luke, G. L.
London Mathematical Society.
Science Research Council (Great Britain)
Lie, Groupes de -- Congrès.
Lie, groupes de -- Congrès.
Representations of Lie groups -- Congresses.
Representations of Lie groups.
Représentations de groupes -- Congrès.
Représentations de groupes.
London Mathematical Society lecture note series ; 34.
v, 341 pages ; 23 cm.
Includes bibliographical references and index.
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.
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.
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