Homomorphisms from an arbitrary Specht module to one corresponding to a hook
Representation Theory
2014-11-05 v1
Abstract
We use the presentation of the Specht modules given by Kleshchev-Mathas-Ram to derive results about Specht modules. In particular, we determine all homomorphisms from an arbitrary Specht module to a fixed Specht module corresponding to any hook partition. Along the way, we give a complete description of the action of the standard KLR generators on the hook Specht module. This work generalizes a result of James.
Cite
@article{arxiv.1411.0750,
title = {Homomorphisms from an arbitrary Specht module to one corresponding to a hook},
author = {Joseph Loubert},
journal= {arXiv preprint arXiv:1411.0750},
year = {2014}
}