3 papers
math.RA2019
Universal central extensions of braided crossed modules in Lie algebras
Alejandro Fernández-Fariña, Manuel Ladra
In this paper, we give a natural braiding on the universal central extension of a crossed module of Lie algebras with a given braiding and construct the universal central extension…
math.CT2018
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 br…
math.CT2017
Braiding for categorical algebras and crossed modules of algebras I: Associative and Lie algebras
Alejandro Fernández-Fariña, Manuel Ladra
In this paper we study the categories of braided categorical associative algebras and braided crossed modules of associative algebras and we relate these structures with the catego…