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arXiv · 1310.4467

Affine Cellularity of Khovanov-Lauda-Rouquier Algebras of Finite Types

Alexander Kleshchev·Joseph Loubert
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Abstract

We prove that the Khovanov-Lauda-Rouquier algebras $R_α$ of finite type are (graded) affine cellular in the sense of Koenig and Xi. In fact, we establish a stronger property, namely that the affine cell ideals in $R_α$ are generated by idempotents. This in particular implies the (known) result that the global dimension of $R_α$ is finite.

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Alexander Kleshchev, Joseph Loubert. 2013-10-16. Affine Cellularity of Khovanov-Lauda-Rouquier Algebras of Finite Types. https://arxiv.org/abs/1310.4467

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