# Cyclicity for categorified quantum groups

Beliakova, Anna; Habiro, Kazuo; Lauda, Aaron D; Webster, Ben (2016). Cyclicity for categorified quantum groups. Journal of Algebra, 452:118-132.

## Abstract

We equip the categorified quantum group attached KLR algebra and an arbitrary choice of scalars with duality functor which is cyclic, that is, such that $\mathit{f}$ =$\mathit{f}^{**}$ for all 2-morphisms $\mathit{f}$. This is accomplished via a modified diagrammatic formalism.

## Abstract

We equip the categorified quantum group attached KLR algebra and an arbitrary choice of scalars with duality functor which is cyclic, that is, such that $\mathit{f}$ =$\mathit{f}^{**}$ for all 2-morphisms $\mathit{f}$. This is accomplished via a modified diagrammatic formalism.

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