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Homology with Trivial Coefficients of Leibniz<i>n</i>-Algebras

J. M. CasasDipartamento Matemática Aplicada , Universidad de Vigo E. U. I. T. Forestal , Campus Universitario A Xunqueira, Pontevedra, Spain ; Dipartamento Matemática Aplicada , Universidad de Vigo E. U. I. T. Forestal , Campus Universitario A Xunqueira, 36005, Pontevedra, Spain
2003en
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Abstract We introduce homology K-vector spaces with trivial coefficients for Leibniz n-algebras and we obtain exact sequences relating them. As a consequence we get a Hopf formula and several results on central extensions of Leibniz n-algebras.

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