2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/141086We study combinatorial blocks of multipartitions, exploring further the notions of weight, hub and core block introduced by the author in earlier papers. We answer the question of which pairs (w,theta) occur as the weight and hub of a block, and we examine the action of the affine Weyl group on the set of blocks.CombinatoricsRepresentation Theory05E10; 20C08Core blocks of Ariki-Koike algebras II: the weight of a core blocktext