Geodesic
Universal enveloping crossed module of a Lie crossed module
Homology, homotopy, and applications, Tome 16 (2014) no. 2, pp. 143-158.

Voir la notice de l'article provenant de la source International Press of Boston

We construct a pair of adjoint functors between the categories of crossed modules of Lie and associative algebras, which extends the classical one between the categories of Lie and associative algebras. This result is used to establish an equivalence of categories of modules over a Lie crossed module and its universal enveloping crossed module.
DOI : 10.4310/HHA.2014.v16.n2.a7
Classification : 16W25, 16W99, 17B35, 18A40
Keywords: crossed module, Lie algebra, associative algebra, universal enveloping algebra 
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José Manuel Casas; Rafael F. Casado; Emzar Khmaladze; Manuel Ladra. Universal enveloping crossed module of a Lie crossed module. Homology, homotopy, and applications, Tome 16 (2014) no. 2, pp. 143-158. doi : 10.4310/HHA.2014.v16.n2.a7. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2014.v16.n2.a7/

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