%0 Journal Article
%T Counting semisimple orbits of finite Lie algebras by genus
%A Jason Fulman
%J Mathematics
%D 1997
%I arXiv
%X The adjoint action of a finite group of Lie type on its Lie algebra is studied. A simple formula is conjectured for the number of split semisimple orbits of a given genus. This conjecture is proved for type A, and partial results are obtained for other types. For type A a probabilistic interpretation is given in terms of card shuffling.
%U http://arxiv.org/abs/math/9712246v2