Groupes Classiques

Abstract

We introduce so-called "classical" algebraic group over a general base scheme, and then place them where they belong in the classification of reductive groups established in SGA3. We cover the non-split cases and we describe on the way several categories of torsors.

arXiv commentThese notes are in french and are an extended version of talks given by the authors at the conference "Schémas en groupes: introduction au séminaire SGA3 de Demazure-Grothendieck" (Luminy, September 2011). This update (version 2) contains minor modifications