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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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