Matsuki's double coset decomposition via gradient maps

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dc.creatorMiebach, Christian
dc.date2007-12-20
dc.date2008-09-26
dc.date.accessioned2026-07-07T10:05:07Z
dc.date.available2026-07-07T10:05:07Z
dc.descriptionLet $G$ be a real-reductive Lie group and let $G_1$ and $G_2$ be two subgroups given by involutions. We show how the technique of gradient maps can be used in order to obtain a new proof of Matsuki's parametrization of the closed double cosets $G_1\backslash G/G_2$ by Cartan subsets. We also describe the elements sitting in non-closed double cosets.
dc.description19 pages
dc.identifierhttps://arxiv.org/abs/0712.3384
dc.identifierhttp://arxiv.org/abs/0712.3384
dc.identifierJournal of Lie Theory 18 (2008), No. 3, 555--580
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/169918
dc.subjectRepresentation Theory
dc.titleMatsuki's double coset decomposition via gradient maps
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