General Properties of Representations.- Representations of Finite Groups.- Representations of Compact Groups.- Representations of Lie Groups.- Appendices.
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Ernest B. Vinberg is a Professor of mathematics at the Moscow University.
From the reviews:“Vinberg’s book should be seen as preliminary to far more ambitious and weighty texts … . It takes the reader from raw basics, done very nicely, through the obligatory discussion of the regular representation … to some excellent stuff on SU2 and SO3, with a discussion of Laplace’s spherical functions thrown in. The presence of a huge number of guiding examples is a major asset … as is the large collection of exercises for the reader. It is indeed a marvelous introduction to representation theory!” (Michael Berg, The Mathematical Association of America, February, 2011)
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