A SPLITTING OF THE FROBENIUS MORPHISM ON THE ALGEBRA OF THE DISTRIBUTIONS OF A REDUCTIVE GROUP - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Quarterly Journal of Mathematics Année : 2020

A SPLITTING OF THE FROBENIUS MORPHISM ON THE ALGEBRA OF THE DISTRIBUTIONS OF A REDUCTIVE GROUP

Un scindage du morphisme de Frobenius sur l'algèbre des distributions d'un groupe réductif

Résumé

For a simply connected semisimple algebraic group over an algebraically closed field of positive characteristic we have already constructed a splitting of the Frobenius endomorphism on its algebra of distributions. We generalize the construction to the case of general reductive groups as well as the corresponding corollaries.

Dates et versions

hal-01668728 , version 1 (20-12-2017)

Identifiants

Citer

Michel Gros, Masaharu Kaneda. A SPLITTING OF THE FROBENIUS MORPHISM ON THE ALGEBRA OF THE DISTRIBUTIONS OF A REDUCTIVE GROUP. Quarterly Journal of Mathematics, 2020, 71 (1), pp.197-206. ⟨10.1093/qmathj/haz039⟩. ⟨hal-01668728⟩
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