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Quiver Hecke algebras and 2-Lie algebras

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abstract

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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2025 1

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Action of the Witt algebra on categorified quantum groups

math.QA · 2025-07-02 · 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.

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  • Action of the Witt algebra on categorified quantum groups math.QA · 2025-07-02 · unverdicted · none · ref 29 · internal anchor

    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.