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Non-abelian tensor and exterior products modulo q and universal q-central relative extension of Lie algebras

Emzar Khmaladze

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 $q$.

Homology, Homotopy and Applications, Vol. 1, 1999, No. 9, pp 187-204
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