# On the definition of Kac–Moody 2-category

@article{Brundan2015OnTD, title={On the definition of Kac–Moody 2-category}, author={Jonathan Brundan}, journal={Mathematische Annalen}, year={2015}, volume={364}, pages={353-372} }

We show that the Kac–Moody 2-categories defined by Rouquier and by Khovanov and Lauda are the same.

## 55 Citations

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We introduce generalizations of Kac–Moody 2‐categories in which the quiver Hecke algebras of Khovanov, Lauda and Rouquier are replaced by the quiver Hecke superalgebras of Kang, Kashiwara and…

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This is an expository article developing some aspects of the theory of categorical actions of Kac-Moody algebras in the spirit of works of Chuang-Rouquier, Khovanov-Lauda, Webster, and many others.

### Categorification of the internal braid group action for quantum groups I: 2-functoriality

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. We deﬁne 2-functors on the categoriﬁed quantum group of a simply-laced Kac-Moody algebra that induce Lusztig’s internal braid group action at the level of the Grothendieck group.

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### Monoidal Supercategories

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With the main objective that it can be consulted by all researchers, mainly
young people, interested in the study of the Kac-Moody algebras and their
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We give a geometric categorification of the Verma modules M(λ) for quantum sl2 .

### p-DG cyclotomic nilHecke algebras II

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We categorify tensor products of the fundamental representation of quantum sl2 at prime roots of unity building upon earlier work where a tensor product of two Weyl modules was categorified.

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