On homomorphisms involving a hook Weyl module

DOI10.1016/J.JALGEBRA.2021.05.016arXiv2006.15063MaRDI QIDQ6343826

Mihalis Maliakas, Dimitra-Dionysia Stergiopoulou

Publication date: 26 June 2020

Abstract: 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.

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Representation theory for linear algebraic groups (20G05)

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