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.
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