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Sur la classification des schémas en groupes semi-simples

Abstract : We deal with the classification of semisimple group schemes via the Bruhat-Tits' presentation of non-abelian cohomology. The goal is to generalize Galois techniques to more general rings. It leads us to investigate the concept of reducibility for reductive group schemes with special attention to one parameter subgroups. It requires also the study of parabolic subgroups and their normalizers of a non-necessarily connected affine smooth group scheme G whose neutral component is reductive. The text discusses in an appendix also certain analogies for Weyl group schemes and twisted root data.
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Contributor : Philippe Gille Connect in order to contact the contributor
Submitted on : Friday, October 10, 2014 - 7:48:15 AM
Last modification on : Monday, June 28, 2021 - 2:26:06 PM
Long-term archiving on: : Sunday, January 11, 2015 - 10:05:59 AM


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  • HAL Id : hal-01063601, version 2


Philippe Gille. Sur la classification des schémas en groupes semi-simples. Panoramas et synthèses, 2016, 47, pp.39-110. ⟨hal-01063601v2⟩



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