Noncommutative Distributions by Sergio Albeverio
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Noncommutative Distributions
By Sergio Albeverio

Noncommutative Distributions

Unitary Representation of Gauge Groups and Algebras


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Noncommutative Distributions by Sergio Albeverio

Book 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.

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Book Details

ISBN: 9780824791315
ISBN-10: 0824791312
Format: Hardback
(279mm x 216mm x 15mm)
Pages: 208
Imprint: Marcel Dekker Inc
Publisher: Taylor & Francis Inc
Publish Date: 26-Aug-1993
Country of Publication: United States

Books By Author Sergio Albeverio

Theory of P-adic Distributions by Sergio Albeverio Theory of P-adic Distributions, Paperback (March 2010)

A wide-ranging 2010 survey of new and important topics in p-adic analysis for researchers and graduate students.

Nonstandard Methods in Stochastic Analysis and Mathematical Physics by Sergio Albeverio Nonstandard Methods in Stochastic Analysis and Mathematical Physics, Paperback (January 2009)

Two-part treatment begins with a self-contained introduction to the subject, followed by applications to stochastic analysis and mathematical physics. "A welcome addition." - Bulletin of the American Mathematical Society. 1986 edition.

Mathematical Theory of Feynman Path Integrals by Sergio Albeverio Mathematical Theory of Feynman Path Integrals, Paperback (May 2008)

Ideas based on Feynman path integrals have played an important role in areas of mathematics like low-dimensional topology and differential geometry, algebraic geometry, infinite-dimensional analysis and geometry, and number theory. This edition is based on the two first authors' mathematical approach of this theory presented in the 1st edition.

Singular Perturbations of Differential Operators by Sergio Albeverio Singular Perturbations of Differential Operators, Paperback (March 2000)

This is a systematic mathematical study of differential (and more general self-adjoint) operators.

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