HOMOLOGY AND CENTRAL EXTENSIONS OF LEIBNIZ AND LIE n-ALGEBRAS

Casas, José Manuel;Khmaladze, Emzar;Ladra, Manuel;Van der Linden, Tim
(2011) Homology homotopy and applications — Vol. 13, n° 1, p. 59-74 (2011)

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  • Casas, José ManuelUniversidad de Vigo
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  • Khmaladze, Emzar
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  • Ladra, Manuel
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  • Van der Linden, Timorcid-logoUCLouvain
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Abstract
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.
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Casas, J. M., Khmaladze, E., Ladra, M., & Van der Linden, T. (2011). HOMOLOGY AND CENTRAL EXTENSIONS OF LEIBNIZ AND LIE n-ALGEBRAS. Homology homotopy and applications, 13(1), 59-74. https://doi.org/10.4310/HHA.2011.v13.n1.a2 (Original work published 2011)