Completely reducible Lie subalgebras
Representation Theory
2007-08-08 v2 Group Theory
Abstract
Let G be a connected and reductive group over the algebraically closed field K. J-P. Serre has introduced the notion of a G-completely reducible subgroup H of G. In this note, we give a notion of G-complete reducibility -- G-cr for short -- for Lie subalgebras of Lie(G), and we show that if the closed subgroup H < G is G-cr, then Lie(H) is G-cr as well.
Cite
@article{arxiv.math/0509590,
title = {Completely reducible Lie subalgebras},
author = {George J. McNinch},
journal= {arXiv preprint arXiv:math/0509590},
year = {2007}
}
Comments
7 pages; AMS LaTeX. To appear in *Transformation Groups*