Graded skew Specht modules and cuspidal modules for Khovanov-Lauda-Rouquier algebras of affine type A
Representation Theory
2015-11-24 v2 Quantum Algebra
Abstract
Kleshchev, Mathas and Ram (2012) gave a presentation for graded Specht modules over Khovanov-Lauda-Rouquier algebras of finite and affine type A. We show that this construction can be applied more generally to skew shapes to give a presentation of graded skew Specht modules, which arise as subquotients of restrictions of Specht modules. As an application, we show that cuspidal modules associated to a balanced convex preorder in affine type A are skew Specht modules for certain hook shapes.
Keywords
Cite
@article{arxiv.1412.7514,
title = {Graded skew Specht modules and cuspidal modules for Khovanov-Lauda-Rouquier algebras of affine type A},
author = {Robert Muth},
journal= {arXiv preprint arXiv:1412.7514},
year = {2015}
}
Comments
Minor corrections, shortened proofs in {\S}4, and some additional remarks incorporating suggestions of referee