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arXiv · 1111.1431

Implicit structure in 2-representations of quantum groups

Sabin Cautis·Aaron D. Lauda
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Abstract

Given a strong 2-representation of a Kac-Moody Lie algebra (in the sense of Rouquier) we show how to extend it to a 2-representation of categorified quantum groups (in the sense of Khovanov-Lauda). This involves checking certain extra 2-relations which are explicit in the definition by Khovanov-Lauda and, as it turns out, implicit in Rouquier's definition. Some applications are also discussed.

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Sabin Cautis, Aaron D. Lauda. 2011-11-06. Implicit structure in 2-representations of quantum groups. https://doi.org/10.1007/s00029-014-0162-x

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