A note on the Bruhat decomposition of semisimple Lie groups

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dc.creatorSeco, Lucas
dc.date2008-07-28
dc.date.accessioned2026-07-07T09:53:14Z
dc.date.available2026-07-07T09:53:14Z
dc.descriptionLet a split element of a connected semisimple Lie group act on one of its flag manifolds. We prove that each connected set of fixed points of this action is itself a flag manifold. With this we can obtain the generalized Bruhat decomposition of a semisimple Lie group by entirely dynamical arguments.
dc.description7 pages
dc.identifierhttps://arxiv.org/abs/0807.4350
dc.identifierhttp://arxiv.org/abs/0807.4350
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/165882
dc.subjectGroup Theory
dc.subject22E46; 14M15
dc.titleA note on the Bruhat decomposition of semisimple Lie groups
dc.typetext

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