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arXiv · 1906.11376

Resolutions of standard modules over KLR algebras of type $A$

Doeke Buursma·Alexander Kleshchev·David J. Steinberg
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Abstract

Khovanov-Lauda-Rouquier algebras $R_\theta$ of finite Lie type are affine quasihereditary with standard modules $\Delta(\pi)$ labeled by Kostant partitions $\pi$ of $\theta$. In type $A$, we construct explicit projective resolutions of standard modules $\Delta(\pi)$.

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BibTeXRIS

Doeke Buursma, Alexander Kleshchev, David J. Steinberg. 2019-06-26. Resolutions of standard modules over KLR algebras of type $A$. https://arxiv.org/abs/1906.11376

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