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arxiv: 1501.00350 · v1 · pith:WQDJZV5Pnew · submitted 2015-01-02 · 🧮 math.RT · math.QA

On the definition of Kac-Moody 2-category

Jonathan Brundan This is my paper
classification 🧮 math.RT math.QA
keywords kac-moodycategoriescategorydefineddefinitionkhovanovlaudarouquier
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We show that the Kac-Moody 2-categories defined by Rouquier and by Khovanov and Lauda are the same.

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  1. Rewriting modulo isotopies in Khovanov-Lauda-Rouquier's categorification of quantum groups

    math.RT 2019-07 unverdicted novelty 7.0

    Rewriting modulo isotopies computes bases for 2-cells in the KLR 2-category that match Khovanov-Lauda conjectures, proving non-degeneracy and thus categorification of Lusztig's integral quantum group.