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arxiv: 0901.3992 · v2 · submitted 2009-01-26 · 🧮 math.RT

Canonical bases and Khovanov-Lauda algebras

M. Varagnolo , E. Vasserot This is my paper
classification 🧮 math.RT
keywords khovanov-laudaalgebrasassociatedbasescanonicalcartancategorificationconcerning
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We prove some recent conjectures of Khovanov-Lauda concerning the categorification of one-half of the quantum group associated with a simply laced Cartan datum.

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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.