Representations of infinite-dimensional groups / R.S. Ismagilov ; [translated by D. Deart from an original Russian manuscript].

Includes bibliographical references (p. 195-197).

Chapters
Introduction
Chapter 1. Some general constructions related to representations
Chapter 2. Representations of the group of measurable currents
Chapter 3. Representations of the group of smooth currents
Chapter 4. Certain results on diffeomorphism groups
Chapter 5. Representations of diffeomorphism groups associated with the configuration spaces
Chapter 6. Representations of certain group extensions
Chapter 7. Representations of diffeomorphism groups in the Fock space
Chapter 8. Representations of groups of foliation preserving diffeomorphisms

Translations of Mathematical Monographs
Volume: 152; 1996; 197 pp
MSC: Primary 22; Secondary 17; 58; 60; 81;
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.