Non-abelian tensor and exterior products modulo $q$ and universal $q$-central relative extension of Lie algebras
Homology, homotopy, and applications, Tome 1 (1999) no. 1, pp. 187-204.

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

The notions of tensor end exterior products modulo $q$ of two crossed $P$-modules, where $q$ is a positive integer and $P$ is a Lie algebra, are introduced and some properties are established. The condition for the existence of a universal $q$-central relative extension of a Lie epimorphism is given and this extension is described as an exterior product modulo $q$.
DOI : 10.4310/HHA.1999.v1.n1.a9
Classification : 18G50
Keywords: Lie algebra, tensor product, exterior product, crossed module, universal extension
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Emzar Khmaladze. Non-abelian tensor and exterior products modulo $q$ and universal $q$-central relative extension of Lie algebras. Homology, homotopy, and applications, Tome 1 (1999) no. 1, pp. 187-204. doi : 10.4310/HHA.1999.v1.n1.a9. http://geodesic.mathdoc.fr/articles/10.4310/HHA.1999.v1.n1.a9/

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