Noncommutative distributions : unitary representation of gauge groups and algebras

Bibliographic Information

Noncommutative distributions : unitary representation of gauge groups and algebras

Sergio A. Albeverio ... [et al.]

(Monographs and textbooks in pure and applied mathematics, 175)

Marcel Dekker, c1993

Available at  / 53 libraries

Search this Book/Journal

Note

Includes bibliographical references and index

Series on cover: Pure and applied mathematics : a series of monographs and textbooks

Description and Table of Contents

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.

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.

by "Nielsen BookData"

Related Books: 1-1 of 1

Details

Page Top