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Lectures on Lie Groups

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"[Lectures in Lie Groups] fulfills its aim admirably and should be a useful reference for any mathematician who would like to learn the basic results for compact Lie groups. . . . The book is a well written basic text [and Adams] has done a service to the mathematical community."—Irving Kaplansky

Author(s): J. F. Adams
Publisher: University Of Chicago Press
Year: 1983

Language: English
Pages: 192

Contents......Page 3
Foreword......Page 4
1. Basic definitions......Page 8
2. One-parameter subgroups, the exponential map, etc.......Page 14
3. Elementary representation theory......Page 29
4. Maximal tori in Lie groups......Page 86
5. Geometry of the Stiefel diagram......Page 108
6. Representation theory......Page 149
7. Representations of the classical groups......Page 172
References......Page 187