%0 Journal Article
%T Spherical Nilpotent Orbits in Positive Characteristic
%A Russell Fowler
%A Gerhard Roehrle
%J Mathematics
%D 2007
%I arXiv
%X 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.
%U http://arxiv.org/abs/0708.0923v3