Article

Access to the text (HTML) Access to the text (HTML)
PDF Access to the PDF text
Advertising


Access to the full text of this article requires a subscription.
  • If you are a subscriber, please sign in 'My Account' at the top right of the screen.

  • If you want to subscribe to this journal, see our rates

  • You can purchase this item in Pay Per ViewPay per View - FAQ : 30,00 € Taxes included to order
    Pages Iconography Videos Other
    3 0 0 0


Comptes Rendus Mathématique
Volume 348, n° 9-10
pages 495-497 (mai 2010)
Doi : 10.1016/j.crma.2010.04.013
Received : 27 February 2010 ;  accepted : 6 April 2010
Complete reducibility and separable field extensions
Complète réductibilité et extensions de corps séparables
 

Michael Bate a , Benjamin Martin b , Gerhard Röhrle c
a Department of Mathematics, University of York, York YO10 5DD, United Kingdom 
b Mathematics and Statistics Department, University of Canterbury, Private Bag 4800, Christchurch 8140, New Zealand 
c Fakultät für Mathematik, Ruhr-Universität Bochum, 44780 Bochum, Germany 

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 .

The full text of this article is available in PDF format.
Résumé

Soit G un groupe algébrique linéaire réductif connexe. Le but de cette Note est de répondre à une question de J-P. Serre concernant le comportement par extensions de corps séparables, de la notion de G -réductibilité complète qu’il a introduite. Une partie de nos arguments repose sur la solution récente de la conjecture du centre de Tits pour les immeubles sphériques du groupe réductif G .

The full text of this article is available in PDF format.


© 2010  Académie des sciences@@#104156@@
EM-CONSULTE.COM is registrered at the CNIL, déclaration n° 1286925.
As per the Law relating to information storage and personal integrity, you have the right to oppose (art 26 of that law), access (art 34 of that law) and rectify (art 36 of that law) your personal data. You may thus request that your data, should it be inaccurate, incomplete, unclear, outdated, not be used or stored, be corrected, clarified, updated or deleted.
Personal information regarding our website's visitors, including their identity, is confidential.
The owners of this website hereby guarantee to respect the legal confidentiality conditions, applicable in France, and not to disclose this data to third parties.
Close
Article Outline
You can move this window by clicking on the headline
@@#110903@@