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Complete reducibility and separable field extensions
Research output: Contribution to journal › Article
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Publication details
| Journal | Comptes rendus mathematique |
|---|---|
| Date | Published - May 2010 |
| Issue number | 9-10 |
| Volume | 348 |
| Number of pages | 3 |
| Pages (from-to) | 495-497 |
| Original language | English |
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. (C) 2010 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.
- CENTER CONJECTURE, BUILDINGS
Research areas
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Optimal Parabolic Subgroups and Tits' Centre Conjecture
Project: Research project (funded) › Research
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