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

ISBN-10: 0585310947

ISBN-13: 9780585310947

ISBN-10: 0824791312

ISBN-13: 9780824791315

Protecting vital points of the speculation of unitary representations of nuclear Lie teams, this self-contained reference offers the final thought of strength representations and addresses quite a few extensions of direction teams and algebras.;Requiring just a common wisdom of the idea of unitary representations, topological teams and straightforward stochastic research, Noncommutative Distributions: examines a conception of noncommutative distributions as irreducible unitary representations of teams of mappings from a manifold right into a Lie team, with purposes to gauge-field theories; describes the strength illustration whilst the objective Lie team G is compact; discusses representations of G-valued jet bundles while G isn't really unavoidably compact; and offers a synthesis of deep effects on quasi-simple Lie algebras.;Providing over two hundred bibliographic citations, drawings, tables, and equations, Noncommutative Distributions is meant for learn mathematicians and theoretical and mathematical physicists learning present algebras, the illustration idea of Lie teams, and quantum box concept, and graduate scholars in those disciplines.