On homomorphisms involving a hook Weyl module

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.

Updated with reviewers' suggestions. Subsection 3.2 was added. Minor corrections. To appear in J. Algebra

References in corpus (1)

• On extensions of hook Weyl modules

Cited by in corpus (3)

• On homomorphisms into Weyl modules corresponding to partitions with two parts
• A periodicity theorem for extensions of Weyl modules
• Relating homomorphism spaces between Specht modules of different degrees