Un scindage du morphisme de Frobenius sur l'alg\`ebre des distributions d'un groupe r\'eductif

Abstract

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 and derive the corresponding corollaries.

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