TY - BOOK AU - Atiyah,Michael Francis AU - Luke,G.L. ED - SRC/LMS Research Symposium on Representations of Lie Groups ED - Science Research Council (Great Britain), ED - London Mathematical Society, TI - Representation theory of Lie groups: proceedings of the SRC/LMS Research Symposium on Representations of Lie Groups, Oxford, 28 June-15 July 1977 T2 - London Mathematical Society lecture note series SN - 9780511662683 (ebook) AV - QA387 .S14 1977 U1 - 512/.55 19 PY - 1980/// CY - Cambridge PB - Cambridge University Press KW - Representations of Lie groups KW - Congresses N1 - 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 N2 - 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 UR - https://doi.org/10.1017/CBO9780511662683 ER -