Groupes Classiques
Algebraic Geometry
2014-10-21 v2
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.
Cite
@article{arxiv.1401.1992,
title = {Groupes Classiques},
author = {Baptiste Calmès and Jean Fasel},
journal= {arXiv preprint arXiv:1401.1992},
year = {2014}
}
Comments
These notes are in french and are an extended version of talks given by the authors at the conference "Sch\'emas en groupes: introduction au s\'eminaire SGA3 de Demazure-Grothendieck" (Luminy, September 2011). This update (version 2) contains minor modifications