**Advances in Soviet Mathematics**

1992;
267 pp;
Hardcover

MSC: Primary 03; 05; 20; 28; 46; 53; 58; 81;
Secondary 22; 33; 68; 70

**Print ISBN: 978-0-8218-4108-2
Product Code: ADVSOV/9**

List Price: $149.00

Individual Member Price: $119.20

# Representation Theory and Dynamical Systems

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*A. M. Vershik*

This volume presents research conducted between 1989 and 1991 by the participants in the Leningrad Seminar on representation theory, dynamical systems, and their applications, headed by A. M. Vershik. The primary areas covered here are mathematical physics, Lie groups and their representations, infinite-dimensional groups, topology, and dynamical systems. The book contains a number of useful introductory surveys; for example, one paper by Vaksman and So&ibreve;belman provides a systematic description of the theory of quantum groups in the spirit of representation theory—a new and popular area for which there are few introductory surveys. A portion of the book is devoted to adic transformations and substitutions, a new area of ergodic theory. With a balance of survey papers and frontier research results, this book will appeal to graduate students and researchers alike.

#### Readership

Graduate students, specialists, and mathematical physicists.