Completely reducible Lie subalgebras

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dc.creatorMcNinch, George J.
dc.date2005-09-25
dc.date2006-01-11
dc.date.accessioned2026-07-07T08:22:41Z
dc.date.available2026-07-07T08:22:41Z
dc.descriptionLet G be a connected and reductive group over the algebraically closed field K. J-P. Serre has introduced the notion of a G-completely reducible subgroup H of G. In this note, we give a notion of G-complete reducibility -- G-cr for short -- for Lie subalgebras of Lie(G), and we show that if the closed subgroup H < G is G-cr, then Lie(H) is G-cr as well.
dc.description7 pages; AMS LaTeX. To appear in *Transformation Groups*
dc.identifierhttps://arxiv.org/abs/math/0509590
dc.identifierhttp://arxiv.org/abs/math/0509590
dc.identifierTransformation Groups, Volume 12, Number 1 / March, 2007
dc.identifierdoi:10.1007/s00031-005-1130-5
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/135734
dc.subjectRepresentation Theory
dc.subjectGroup Theory
dc.titleCompletely reducible Lie subalgebras
dc.typetext

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