English

2-Kac-Moody algebras

Representation Theory 2008-12-31 v1

Abstract

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.

Keywords

Cite

@article{arxiv.0812.5023,
  title  = {2-Kac-Moody algebras},
  author = {Raphael Rouquier},
  journal= {arXiv preprint arXiv:0812.5023},
  year   = {2008}
}
R2 v1 2026-06-21T11:56:32.886Z