An embedding theorem for automorphism groups of Cartan geometries

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dc.creatorBader, Uri
dc.creatorFrances, Charles
dc.creatorMelnick, Karin
dc.date2007-09-24
dc.date.accessioned2026-07-07T08:32:00Z
dc.date.available2026-07-07T08:32:00Z
dc.descriptionWe prove a theorem relating the automorphism group of a Cartan geometry to the group on which the geometry is modeled: a component of the adjoint representation of the first embeds in the adjoint representation of the second. Consequences of the theorem include general bounds on the rank and nilpotence degree of an automorphism group; a result asserting local homogeneity and completeness of parabolic geometries admitting a maximal-rank group of automorphisms; and a local freeness theorem for actions additionally preserving a continuous volume form.
dc.description33 pages
dc.identifierhttps://arxiv.org/abs/0709.3844
dc.identifierhttp://arxiv.org/abs/0709.3844
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/138667
dc.subjectDifferential Geometry
dc.subjectDynamical Systems
dc.titleAn embedding theorem for automorphism groups of Cartan geometries
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