Noncommutative distributions : unitary representation of gauge groups and algebras
著者
書誌事項
Noncommutative distributions : unitary representation of gauge groups and algebras
（Monographs and textbooks in pure and applied mathematics, 175）
Marcel Dekker, c1993
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注記
Includes bibliographical references and index
Series on cover: Pure and applied mathematics : a series of monographs and textbooks
内容説明・目次
内容説明
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.
目次
- 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.
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