Abstract
We show that the Kac–Moody 2-categories defined by Rouquier and by Khovanov and Lauda are the same.
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References
Cautis, S., Lauda, A.: Implicit structure in 2-representations of quantum groups. Selecta Math. 21, 201–244 (2015)
Khovanov, M., Lauda, A.: A diagrammatic approach to categorification of quantum groups III. Quantum Top. 1, 1–92 (2010)
Lauda, A.: A categorification of quantum \(\mathfrak{sl}(2)\). Adv. Math. 225, 3327–3424 (2010)
Rouquier, R.: 2-Kac–Moody algebras. arXiv:0812.5023
Acknowledgments
The diagrams in this paper were created using Till Tantau’s TikZ package.
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Research supported in part by NSF grant DMS-1161094.