2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/229247We use deep properties of Kashiwara's crystal basis to show that the induction functor $ {H}^0 (-) $ introduced by Andersen, Polo and Wen satisfies an analogon of Kempf's vanishing Theorem.17 pages, Published versionRepresentation TheoryAlgebraic Geometry17B37, 20G42text