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 st

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

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.