Homology, Homotopy and Applications
Volume 1 (1999)
Non-abelian tensor and exterior products modulo $q$ and universal $q$-central relative extension of Lie algebras
Pages: 187 – 204
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 $q$.
Lie algebra, tensor product, exterior product, crossed module, universal extension
2010 Mathematics Subject Classification