Spherical Nilpotent Orbits in Positive Characteristic

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Let 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.
35 pages to appear in Pacific J. Math

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Group Theory, Rings and Algebras, 20G15, 14L30, 17B50

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http://salesiana.dossiersoluciones.com/handle/123456789/161577

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0708.0923
 http://arxiv.org/abs/0708.0923

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arXiv