Completing Lie algebra actions to Lie group actions

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dc.creatorKamber, Franz W.
dc.creatorMichor, Peter W.
dc.date2003-10-20
dc.date.accessioned2026-07-07T05:02:06Z
dc.date.available2026-07-07T05:02:06Z
dc.descriptionFor a finite dimensional Lie algebra $\g$ of vector fields on a manifold $M$ we show that $M$ can be completed to a $G$-space in a unversal way, which however is neither Hausdorff nor $T_1$ in general. Here $G$ is a connected Lie group with Lie-algebra $\g$. For a transitive $\g$-action the completion is of the form $G/H$ for a Lie subgroup $H$ which need not be closed. In general the completion can be constructed by completing each $\g$-orbit.
dc.description10 pages, Latex
dc.identifierhttps://arxiv.org/abs/math/0310308
dc.identifierhttp://arxiv.org/abs/math/0310308
dc.identifierElectron. Res. Announc. Amer. Math. Soc. 10 (2004), 1-10
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68920
dc.subjectDifferential Geometry
dc.subject22F05, 37C10, 54H15, 57R30, 57S05, 58A40
dc.titleCompleting Lie algebra actions to Lie group actions
dc.typetext

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