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On homomorphisms involving a hook Weyl module

Citation:

Maliakas M, Stergiopoulou D-D. On homomorphisms involving a hook Weyl module. Journal of Algebra [Internet]. 2021;585:1-24.

Abstract:

Let $K$ be an infinite field of positive characteristic. We classify all homomorphisms between Weyl modules for $GL_n(K)$, 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.

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