On homomorphisms involving a hook Weyl module
Representation Theory
2021-11-19 v2
Abstract
Let be an infinite field of positive characteristic. We determine all homomorphisms between Weyl modules for , 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.
Cite
@article{arxiv.2006.15063,
title = {On homomorphisms involving a hook Weyl module},
author = {Mihalis Maliakas and Dimitra-Dionysia Stergiopoulou},
journal= {arXiv preprint arXiv:2006.15063},
year = {2021}
}
Comments
Updated with reviewers' suggestions. Subsection 3.2 was added. Minor corrections. To appear in J. Algebra