Noncommutative Distributions: Unitary Representation of Gauge Groups and Algebras (Chapman & Hall/CRC Pure and Applied Mathematics) - Hardcover

Albeverio, Sergio; Hoegh-Krohn, Raphael J.; Marion, Jean A.; Testard, D.; Torresani, B.

Hardcover

ISBN 10: 0824791312 ISBN 13: 9780824791315

Publisher: CRC Press, 1993

Synopsis

Covering important aspects of the theory of unitary representations of nuclear Lie groups, this self-contained reference presents the general theory of energy representations and addresses various extensions of path groups and algebras.;Requiring only a general knowledge of the theory of unitary representations, topological groups and elementary stochastic analysis, Noncommutative Distributions: examines a theory of noncommutative distributions as irreducible unitary representations of groups of mappings from a manifold into a Lie group, with applications to gauge-field theories; describes the energy representation when the target Lie group G is compact; discusses representations of G-valued jet bundles when G is not necessarily compact; and supplies a synthesis of deep results on quasi-simple Lie algebras.;Providing over 200 bibliographic citations, drawings, tables, and equations, Noncommutative Distributions is intended for research mathematicians and theoretical and mathematical physicists studying current algebras, the representation theory of Lie groups, and quantum field theory, and graduate students in these disciplines.

About this title

About the Author

Sergio Albeverio, Raphael J. Hoegh-Krohn, Jean A. Marion, D. Testard, B. Torrsesani

Edition details

• Publisher: CRC Press
• Publication date: 1993
• Language: English
• ISBN 10: 0824791312
• ISBN 13: 9780824791315
• Binding: Hardcover
• Edition number: 1
• Number of pages: 208