We extend the five-term exact sequence of homology with trivial coefficients of Leibniz n-algebras nH L1 ( K ) → nH L1 (L) → M → nH L0( K ) → nH L0( L ) → 0 associated to a central extension of Leibniz n-algebras 0 → M →K → L → 0 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.
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