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arXiv · 1412.7514

Graded skew Specht modules and cuspidal modules for Khovanov-Lauda-Rouquier algebras of affine type A

Robert Muth
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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.

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Robert Muth. 2014-12-23. Graded skew Specht modules and cuspidal modules for Khovanov-Lauda-Rouquier algebras of affine type A. https://arxiv.org/abs/1412.7514

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