Real double coset spaces and their invariants

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Let G be a real form of a complex reductive group. Suppose that we are given involutions σand θof G. Let H=G^σdenote the fixed group of σand let K=G^θdenote the fixed group of θ. We are interested in calculating the double coset space H\backslash G/K. We use moment map and invariant theoretic techniques to calculate the double cosets, especially the ones that are closed. One salient point of our results is a stratification of a quotient of a compact torus over which the closed double cosets fiber as a collection of trivial bundles.
18 pages, typos corrected

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Representation Theory, Group Theory, 20G20, 22E15, 22E46, 53C35

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http://salesiana.dossiersoluciones.com/handle/123456789/219907

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0804.3756
 http://arxiv.org/abs/0804.3756

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arXiv