Homology and central extensions of Leibniz and Lie $n$-algebras
Homology, homotopy, and applications, Tome 13 (2011) no. 1, pp. 59-74.

Voir la notice de l'article provenant de la source International Press of Boston

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.
DOI : 10.4310/HHA.2011.v13.n1.a3
Classification : 17A32, 18Exx, 18G10, 18G50
Keywords: semi-abelian category, higher central extension, higher Hopf formula, homology, Leibniz $n$-algebra, Lie $n$-algebra
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José Manuel Casas; Emzar Khmaladze; Manuel Ladra; Tim Van der Linden. Homology and central extensions of Leibniz and Lie $n$-algebras. Homology, homotopy, and applications, Tome 13 (2011) no. 1, pp. 59-74. doi : 10.4310/HHA.2011.v13.n1.a3. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2011.v13.n1.a3/

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