arXiv Analytics

Sign in

arXiv:1411.0750 [math.RT]AbstractReferencesReviewsResources

Homomorphisms from an arbitrary Specht module to one corresponding to a hook

Joseph Loubert

Published 2014-11-04Version 1

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.

Categories: math.RT
Related articles: Most relevant | Search more
arXiv:2405.18821 [math.RT] (Published 2024-05-29)
Hecke and Artin monoids and their homomorphisms
arXiv:1101.3192 [math.RT] (Published 2011-01-17, updated 2011-09-09)
On homomorphisms indexed by semistandard tableaux
arXiv:2009.04147 [math.RT] (Published 2020-09-09)
On the homomorphisms between Parabolic Verma modules over Kac-Moody Algebras

Links

Toolbox