On homomorphisms involving a hook Weyl module

Mihalis Maliakas, Dimitra-Dionysia Stergiopoulou

Published 2020-06-26Version 1

Let $k$ be an infinite field of positive characteristic. We determine all homomorphisms between Weyl modules for $GLn(k)$, where one of the partitions is a hook. As a consequence we obtain a nonvanishing result concerning homomorphisms between Weyl modules for algebraic groups of type B, C and D when one of the partitions is a hook.