Translations of Mathematical Monographs 1996; 197 pp; hardcover Volume: 152 ISBN10: 0821804189 ISBN13: 9780821804186 List Price: US$96 Member Price: US$76.80 Order Code: MMONO/152
 This book is devoted to representations of two classes of infinitedimensional groups: current groups and diffeomorphism groups. The author presents a complete treatment of the subject, including general methods for constructing irreducible representations of infinitedimensional groups and general results about such representations. He also exhibits deep relations between representations of infinitedimensional 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 "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 Table of Contents  Some general constructions related to representations
 Representations of the group of measurable currents
 Representations of the group of smooth currents
 Certain results on diffeomorphism groups
 Representations of diffeomorphism groups associated with configuration spaces
 Representations of certain group extensions
 Representations of diffeomorphism groups in the Fock space
 Representations of groups of foliation preserving diffeomorphisms
 References
