Office of Academic Resources
Chulalongkorn University
Chulalongkorn University

Home / Help

AuthorVinberg, Ernest B. author
TitleLinear Representations of Groups [electronic resource] : Translated from the Russian by A. Iacob / by Ernest B. Vinberg
ImprintBasel : Springer Basel, 1989
Connect to
Descript VI, 146p. online resource


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. ย  ------ย  Reviews ย  This book is a short modern introduction to representation theory of groups. (โ{128}ฆ) Basic examples and exercises enable the reader to change over to explicit calculations. - Zentralblatt MATH ย  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. (โ{128}ฆ) There are many exercises in the text; at the end of the book there is a list of some answers and solutions. (โ{128}ฆ) 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


General Properties of Representations -- Representations of Finite Groups -- Representations of Compact Groups -- Representations of Lie Groups -- Appendices

Mathematics Algebra Mathematics Algebra


Office of Academic Resources, Chulalongkorn University, Phayathai Rd. Pathumwan Bangkok 10330 Thailand

Contact Us

Tel. 0-2218-2929,
0-2218-2927 (Library Service)
0-2218-2903 (Administrative Division)
Fax. 0-2215-3617, 0-2218-2907

Social Network


facebook   instragram