Séminaire de Mathématique

On the Construction of a Group Scheme Associated to a Semisimple Lie Group

by Prof. Pierre Cartier (IHES)

Amphithéâtre Léon Motchane (IHES)

Amphithéâtre Léon Motchane


Le Bois Marie 35, route de Chartres 91440 Bures-sur-Yvette

We shall describe a synthesis of results obtained by Chevalley, Kostant, Bourbaki, Demazure and myself about the construction of a group scheme associated to a semisimple complex Lie group. The method is explicit, unlike the one of Demazure (and Grothendieck). It is easy to mimic the same methods to accomodate Kac-Moody algebras and groups.

Organized by

Emmanuel Ullmo