2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/72963Let G be a complex connected semisimple group, whose simple components have type A or D. We prove that wonderful G-varieties are classified by means of combinatorial objects called spherical systems. This is a generalization of a known result of Luna for groups of type A; thanks to another result of Luna, this implies also the classification of all spherical G-varieties for the groups G we are considering. For these G we also prove the smoothness of the embedding of Demazure.60 pages, AMSLaTeX, 11 eps filesRepresentation Theory14L30 (Primary) 14M17 (Secondary)text