Ganea Term for Homology of Leibniz n-Algebras

Abstract

We extend the five-term exact sequence of homology with trivial coefficients of Leibniz n-algebras [Formula: see text] associated to a central extension of Leibniz n-algebras [Formula: see text] by means of a sixth term which is a generalization of the Ganea term for homology of Leibniz algebras. We use this sequence in order to analyze several questions related with the centre and central extensions of a Leibniz n-algebra.