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＜電子ブック＞
Linear Representations of Groups : Translated from the Russian by A. Iacob / by Ernest B. Vinberg
(Modern Birkhäuser Classics. ISSN:21971811)

版	1st ed. 1989.
出版者	(Basel : Springer Basel : Imprint: Birkhäuser)
出版年	1989
大きさ	VI, 146 p : online resource
著者標目	*Vinberg, Ernest B author SpringerLink (Online service)
件　名	LCSH:Algebra FREE:Algebra
一般注記	General Properties of Representations -- Representations of Finite Groups -- Representations of Compact Groups -- Representations of Lie Groups -- Appendices This textbook contains a comprehensive and detailed exposition of the fundamentals of the representation theory of groups, especially of finite groups and compact groups. The exposition is based on the decomposition of the two-sided regular representation. This enables the author to give not only an abstract description of the representations but also their realizations in function spaces, which is important for physical applications. As an example, the theory of Laplace spherical functions is treated. Some basic ideas of the representation theory of Lie groups are also given, as well as all the representations of the groups SU2 and SO3. The book contains numerous examples and exercises, some with solutions.   ------  Reviews   This book is a short modern introduction to representation theory of groups. (…) Basic examples and exercises enable the reader to change over to explicit calculations. - Zentralblatt MATH   This is a short and very readable introduction to finite-dimensional representation theory. A preliminary chapter gives the general flavor of the theory describing many examples and emphasizing the “harmonic analysis” aspects. (…) There are many exercises in the text; at the end of the book there is a list of some answers and solutions. (…) Even though the book is very short, its exposition is clear and unhurried. By concentrating on essential matters the author succeeds in getting across many of the fundamental ideas of the theory. - Mathematical Reviews HTTP:URL=https://doi.org/10.1007/978-3-0348-0063-1

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