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Noncommutative Distributions

Unitary Representation of Gauge Groups and Algebras

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

Series Editor: Zuhair Nashed, Earl Taft

CRC Press – 1993 – 208 pages

Series: Chapman & Hall/CRC Pure and Applied Mathematics

Purchasing Options:

  • INVD:
    978-0-8493-8474-5
    August 25th 1993
    Out-of-print
  • Add to CartHardback: $220.00
    978-0-8247-9131-5
    August 26th 1993

Description

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.

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.

Related Subjects

  1. Algebra

Name: Noncommutative Distributions: Unitary Representation of Gauge Groups and Algebras (Hardback)CRC Press 
Description: By Sergio Albeverio, Raphael J. Hoegh-Krohn, Jean A. Marion, D. Testard, B. TorresaniSeries Editor: Zuhair Nashed, Earl Taft. 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...
Categories: Algebra