Generalized Loop Groups of Complex Manifolds, Gaussian Quasi-Invariant Measures on them and their Representations
Abstract
Loop groups G as families of mappings of the complex manifold M into another complex manifold N preserving marked points s0∈ M and y0∈ N are investigated. Quasi-invariant measures μ on G relative to dense subgroups G' are constructed. These measures are used for the studying of irreducible representations of such groups.
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