Generalized Loop Groups of Complex Manifolds, Gaussian Quasi-Invariant Measures on them and their Representations

1999/10/18 by S. V. Ludkovsky, Ludkovsky, S. V.
Mathematics · #FOS: Mathematics #Representation Theory (math.RT) #math.RT

paper · pdf · doi:10.48550/arxiv.math/9910086

44 pages, latex

arxiv created 1999/10/18 · arxiv updated 2009/11/30

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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