Homology, Homotopy and Applications
Volume 13 (2011)
Homology and central extensions of Leibniz and Lie $n$-algebras
Pages: 59 – 74
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.
semi-abelian category; higher central extension; higher Hopf formula; homology; Leibniz $n$-algebra; Lie $n$-algebra
2010 Mathematics Subject Classification
17A32, 18Exx, 18G10, 18G50