In this work, we give the notion of braiding for categorical Lie algebras and crossed modules of Lie algebras and we give an equivalence between them.
Simplicial Lie Algebra, Categorical Lie Algebra Crossed Modul
ULUALAN, ERDAL (2007) "Braiding for Categorical and Crossed Lie Algebras and Simplicial Lie Algebras," Turkish Journal of Mathematics: Vol. 31: No. 3, Article 2. Available at: https://journals.tubitak.gov.tr/math/vol31/iss3/2