This book is devoted to the theory of group representations, a young and promising area of modern algebra. It provides a detailed exposition of several central topics in the field, leading to the most current advances and developments. Much of the included material has never been available in book form before. It is intended for a broad audience of researchers and graduate students, working in abstract algebra and its many applications.

"The book presents to non-Russian readers a theory that has been developed almost entirely in the former Soviet Union. It is clear and hardly suffers at all from the fact that English is not the author's first language....The fact is that the book is well organized and easy to understand." Peter M. Neumann, Bulletin of the American Mathematical Society