Michael Francis Atiyah; G L Luke; Science Research Council (Great Britain); London Mathematical Society.
|描述：||v, 341 pages ; 23 cm.|
|内容：||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.
|叢書名：||London Mathematical Society lecture note series, 34.|
|責任：||M.F. Atiyah [and others] ; with the editorial assistance of G.L. Luke.|
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.