Аннотация:
We use deep properties of Kashiwara's crystal basis to show that the induction functor $H_k^0(-)$ introduced by Andersen, Polo and Wen satisfies an analogon of Kempf's vanishing theorem for k a field.
Ключевые слова и фразы:Kempf Vanishing, Quantum groups, crystal basis, $H_k^0(-)$, Demazure modules.