Braiding for categorical algebras and crossed modules of algebras II: Leibniz algebras


Alejandro Fernández-Fariña, Manuel Ladra




In this paper, we study the category of braided categorical Leibniz algebras and braided crossed modules of Leibniz algebras, and we relate these structures with the categories of braided categorical Lie algebras and braided crossed modules of Lie algebras using the Loday-Pirashvili category.