**Translations of Mathematical Monographs**

1996;
197 pp;
Hardcover

MSC: Primary 22;
Secondary 17; 58; 60; 81

**Print ISBN: 978-0-8218-0418-6
Product Code: MMONO/152**

List Price: $96.00

Individual Member Price: $76.80

# Representations of Infinite-Dimensional Groups

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*R. S. Ismagilov*

This book is devoted to representations of two classes of infinite-dimensional groups: current groups and diffeomorphism groups. The author presents a complete treatment of the subject, including general methods for constructing irreducible representations of infinite-dimensional groups and general results about such representations. He also exhibits deep relations between representations of infinite-dimensional groups and the theory of Fock spaces, the theory of point random processes, and other branches of mathematics.

#### Readership

Graduate students and research mathematicians interested in representation theory, functional analysis, and mathematical physics.

#### Reviews & Endorsements

Very clear and will be useful to those who would become initiated in the theory of representations of current groups and diffeomorphism groups.

-- Mathematical Reviews