Homology and central extensions of Leibniz and Lie n-algebras

José Manuel Casas, Emzar Khmaladze, Manuel Ladra and Tim Van der Linden

From the viewpoint of semi-abelian homology, some recent results on homology of Leibniz n-algebras can be explained categorically. In parallel with these results, we develop an analogous theory for Lie n-algebras. We also consider the relative case: homology of Leibniz n-algebras relative to the subvariety of Lie n-algebras.

Homology, Homotopy and Applications, Vol. 13 (2011), No. 1, pp.59-74.

doi:10.4310/HHA.2011.v13.n1.a2

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