Homology with coefficients of Leibniz \(n\)-algebras (Q1022288)
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scientific article; zbMATH DE number 5563758
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Homology with coefficients of Leibniz \(n\)-algebras |
scientific article; zbMATH DE number 5563758 |
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Homology with coefficients of Leibniz \(n\)-algebras (English)
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10 June 2009
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The author continues study of the (co)homology of Leibniz \(n\)-algebras developed in [\textit{J. M. Casas, J.-L. Loday} and \textit{T. Pirashvili}, Forum Math. 14, No. 2, 189--207 (2002; Zbl 1037.17002)]. In this paper he defines the notion of a corepresentation of a Leibniz \(n\)-algebra \(L\) and the homology group \(_nHL_*(L,M)\) of \(L\) with coefficient in a corepresentation \(M\). If \(n=2\), or \(M\) is a trivial corepresentation, then one obtains known groups.
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Leibniz algebras
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Leibniz homology
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\(n\)-fold algebras
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