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Ganea Term for Homology of Leibniz n-Algebras

J. M. Casas

Departamento de Matemática Aplicada I, Universidad de Vigo, E. U. I. T. Forestal, Campus Universitario A Xunqueira, 36005 Pontevedra, Spain

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https://doi.org/10.1142/S1005386705000593Cited by:1 (Source: Crossref)

Abstract

We extend the five-term exact sequence of homology with trivial coefficients of Leibniz n-algebras associated to a central extension of Leibniz n-algebras 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.

The author was supported by MCYT, Grant BSFM 2003-04686-C02-02 (European FEDER support included).

Keywords:

AMSC: 17A32

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