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arxiv: 1302.5478 · v2 · pith:ASTSA3GCnew · submitted 2013-02-22 · 🧮 math.QA · math.RT

An approach to categorification of some small quantum groups II

Ben Elias , You Qi This is my paper
classification 🧮 math.QA math.RT
keywords quantumsomeapproachcategorificationcategorifyformgroupsidempotented
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We categorify an idempotented form of quantum sl2 and some of its simple representations at a prime root of unity.

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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.