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

S. V. Ludkovsky
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Abstract

Loop groups G as families of mappings of the complex manifold M into another complex manifold N preserving marked points $s_0\in M$ and $y_0\in N$ 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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BibTeXRIS

S. V. Ludkovsky. 1999-10-18. Generalized Loop Groups of Complex Manifolds, Gaussian Quasi-Invariant Measures on them and their Representations. https://arxiv.org/abs/math/9910086

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