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On the definition of Kac–Moody 2-category

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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

  1. Cautis, S., Lauda, A.: Implicit structure in 2-representations of quantum groups. Selecta Math. 21, 201–244 (2015)

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  2. Khovanov, M., Lauda, A.: A diagrammatic approach to categorification of quantum groups III. Quantum Top. 1, 1–92 (2010)

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  3. Lauda, A.: A categorification of quantum \(\mathfrak{sl}(2)\). Adv. Math. 225, 3327–3424 (2010)

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  4. Rouquier, R.: 2-Kac–Moody algebras. arXiv:0812.5023

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Acknowledgments

The diagrams in this paper were created using Till Tantau’s TikZ package.

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Authors and Affiliations

  1. Department of Mathematics, University of Oregon, Eugene, OR, 97403, USA

    Jonathan Brundan

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  1. Jonathan Brundan
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Correspondence to Jonathan Brundan.

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Research supported in part by NSF grant DMS-1161094.

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Brundan, J. On the definition of Kac–Moody 2-category. Math. Ann. 364, 353–372 (2016). https://doi.org/10.1007/s00208-015-1207-y

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  • DOI: https://doi.org/10.1007/s00208-015-1207-y

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