On the Genus number of Algebraic groups
Group Theory
2013-03-19 v1 Representation Theory
Abstract
We compute the number of orbit types for simply connected simple algebraic groups over algebraically closed fields as well as for compact simply connected simple Lie groups. We also compute the number of orbit types for the adjoint action of these groups on their Lie algebras. We also prove that the genus number of a connected reductive algebraic group coincides with the genus number of its semisimple part.
Keywords
Cite
@article{arxiv.1303.4239,
title = {On the Genus number of Algebraic groups},
author = {Anirban Bose},
journal= {arXiv preprint arXiv:1303.4239},
year = {2013}
}
Comments
36 pages