On cocharacters associated to nilpotent elements of reductive groups

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dc.creatorFowler, Russell
dc.creatorRoehrle, Gerhard
dc.date2006-08-08
dc.date2007-08-08
dc.date.accessioned2026-07-07T08:22:41Z
dc.date.available2026-07-07T08:22:41Z
dc.descriptionLet G be a connected reductive linear algebraic group defined over an algebraically closed field of characteristic p. Assume that p is good for G. In this note we consider particular classes of connected reductive subgroups H of G and show that the cocharacters of H that are associated to a given nilpotent element e in the Lie algebra of H are precisely the cocharacters of G associated to e that take values in H. In particular, we show that this is the case provided H is a connected reductive subgroup of G of maximal rank; this answers a question posed by J.C. Jantzen.
dc.description16 pages, to appear in Nagoya Math. J
dc.identifierhttps://arxiv.org/abs/math/0608194
dc.identifierhttp://arxiv.org/abs/math/0608194
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/135735
dc.subjectRepresentation Theory
dc.subjectGroup Theory
dc.subject20G15, 14L30
dc.titleOn cocharacters associated to nilpotent elements of reductive groups
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