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arxiv: 1506.04671 · v1 · pith:5XKBHARUnew · submitted 2015-06-15 · 🧮 math.QA · math.RT

Cyclicity for categorified quantum groups

Anna Beliakova , Kazuo Habiro , Aaron D. Lauda , Ben Webster This is my paper
classification 🧮 math.QA math.RT
keywords categorifiedquantumaccomplishedalgebraarbitraryattachedchoicecyclic
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We equip the categorified quantum group attached to a KLR algebra and an arbitrary choice of scalars with duality functor which is cyclic, that is, such that f=f^** for all 2-morphisms f. This is accomplished via a modified diagrammatic formalism.

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  1. Action of the Witt algebra on categorified quantum groups

    math.QA 2025-07 unverdicted novelty 6.0

    Constructs an action of the positive Witt algebra on categorified quantum groups for simply-laced Lie algebras, recovering the foam action in type A and inducing the current-algebra action via trace decategorification.