Real double coset spaces and their invariants

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dc.creatorHelminck, Aloysius G.
dc.creatorSchwarz, Gerald W.
dc.date2008-04-23
dc.date2009-02-17
dc.date.accessioned2026-07-07T12:41:55Z
dc.date.available2026-07-07T12:41:55Z
dc.descriptionLet 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.
dc.description18 pages, typos corrected
dc.identifierhttps://arxiv.org/abs/0804.3756
dc.identifierhttp://arxiv.org/abs/0804.3756
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/219907
dc.subjectRepresentation Theory
dc.subjectGroup Theory
dc.subject20G20, 22E15, 22E46, 53C35
dc.titleReal double coset spaces and their invariants
dc.typetext

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