Complete reducibility and separable field extensions
Group Theory
2010-04-15 v3 Representation Theory
Abstract
Let G be a connected reductive linear algebraic group. The aim of this note is to settle a question of J-P. Serre concerning the behaviour of his notion of G-complete reducibility under separable field extensions. Part of our proof relies on the recently established Tits Centre Conjecture for the spherical building of the reductive group G.
Cite
@article{arxiv.1002.4319,
title = {Complete reducibility and separable field extensions},
author = {Michael Bate and Benjamin Martin and Gerhard Roehrle},
journal= {arXiv preprint arXiv:1002.4319},
year = {2010}
}
Comments
5 pages; to appear in Comptes rendus Mathematique