Quasi-invariant measures on loop groups of Riemannian manifolds. (Q1432177)

It is known that the regular unitary representations of loop groups can be constructed with the use of quasi-invariant measures, and these representations can be decomposed into irreducible representations. The paper is concerned with constructing quasi-invariant measures on loop groups. See also [\textit{P. W. Michor}, Manifolds of differentiable mappings (Shiva Mathematics Series 3, Shiva Publishing Limited, Orpington, Kent (U.K.)) (1980; Zbl 0433.58001); \textit{R. M. Switzer}, Algebraic topology-homotopy and homology (Nauka, Moskva) (1985; Zbl 0629.55001)].