  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.
