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arxiv: 0812.5023 · v1 · submitted 2008-12-30 · 🧮 math.RT

2-Kac-Moody algebras

classification 🧮 math.RT
keywords kac-moodyrepresentationsalgebraalgebrasassociatedcategorificationscategorychuang
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We construct a 2-category associated with a Kac-Moody algebra and we study its 2-representations. This generalizes earlier work with Chuang for type A. We relate categorifications relying on K_0 properties and 2-representations.

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