Counting semisimple orbits of finite Lie algebras by genus
Group Theory
2007-05-23 v2 Combinatorics
Abstract
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.
Cite
@article{arxiv.math/9712246,
title = {Counting semisimple orbits of finite Lie algebras by genus},
author = {Jason Fulman},
journal= {arXiv preprint arXiv:math/9712246},
year = {2007}
}
Comments
Final galley version