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arxiv: 1208.0616 · v3 · submitted 2012-08-02 · 🧮 math.QA · math.KT· math.RT

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An approach to categorification of some small quantum groups

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classification 🧮 math.QA math.KTmath.RT
keywords quantumsmallapproacharbitrarycasecategorificationcategorifyconstruction
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We categorify one half of the small quantum sl(2) at a prime root of unity. An extension of this construction to an arbitrary simply-laced case is proposed.

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  1. Categorical Symmetries via Operator Algebras

    hep-th 2026-04 unverdicted novelty 6.0

    The symmetry category of a 2D QFT with G-symmetry and anomaly k equals the twisted Hilbert space category Hilb^k(G), whose Drinfeld center is the twisted representation category of the conjugation groupoid C*-algebra,...