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

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.

In french. Title of the article has been changed. Few misprints have been corrected. Proof of lemma 2.1 has been completely rewritten