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arXiv · 1002.4319

Complete reducibility and separable field extensions

Michael Bate·Benjamin Martin·Gerhard Roehrle
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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.

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Michael Bate, Benjamin Martin, Gerhard Roehrle. 2010-04-14. Complete reducibility and separable field extensions. https://arxiv.org/abs/1002.4319

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