Noncommutative Distributions: Unitary Representation of Gauge Groups and Algebras

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

Overview

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.

Product Details

ISBN-13:	9780824791315
Publisher:	Taylor & Francis
Publication date:	08/26/1993
Series:	Chapman & Hall/CRC Pure and Applied Mathematics , #175
Pages:	208
Product dimensions:	8.25(w) x 11.00(h) x (d)

About the Author

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

Table of Contents

Basic functional groups and Lie algebras; multiplicative G-distributions on a Riemannian manifold; the energy representations of gauge groups; energy representation of path groups; the algebraic level - representations of current algebras.

Editorial Reviews

Covering the most 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. Requires only a general knowledge of the theory of unitary representations, topological groups, and elementary stochastic analysis. Annotation c. Book News, Inc., Portland, OR (booknews.com)

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