Spherical Nilpotent Orbits in Positive Characteristic

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dc.creatorFowler, Russell
dc.creatorRoehrle, Gerhard
dc.date2007-08-07
dc.date2008-05-27
dc.date.accessioned2026-07-07T09:40:44Z
dc.date.available2026-07-07T09:40:44Z
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 classify all the spherical nilpotent G-orbits in the Lie algebra of G. The classification is the same as in the characteristic zero case obtained by D.I. Panyushev in 1994: for e a nilpotent element in the Lie algebra of G, the G-orbit G.e is spherical if and only if the height of e is at most 3.
dc.description35 pages to appear in Pacific J. Math
dc.identifierhttps://arxiv.org/abs/0708.0923
dc.identifierhttp://arxiv.org/abs/0708.0923
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/161577
dc.subjectGroup Theory
dc.subjectRings and Algebras
dc.subject20G15, 14L30, 17B50
dc.titleSpherical Nilpotent Orbits in Positive Characteristic
dc.typetext

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