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arxiv: 1112.3619 · v1 · pith:HN6CX6NKnew · submitted 2011-12-15 · 🧮 math.RT

Quiver Hecke algebras and 2-Lie algebras

Raphael Rouquier This is my paper
classification 🧮 math.RT
keywords algebrasbasiccomplementsconstructionsheckeintroductionkac-moodyprovides
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This text provides an introduction and complements to some basic constructions and results in 2-representation theory of Kac-Moody algebras.

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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.