%0 Journal Article %T Graded skew Specht modules and cuspidal modules for Khovanov-Lauda-Rouquier algebras of affine type A %A Robert Muth %J Mathematics %D 2014 %I arXiv %X 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. %U http://arxiv.org/abs/1412.7514v2