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arXiv · 1207.0472

A Relative Theory for Leibniz n-Algebras

Guy R. Biyogmam
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Abstract

In this paper we show that for a $n$-Filippov algebra $\g,$ the tensor power $\g^{\otimes n-1}$ is endowed with a structure of anti-symmetric co-representation over the Leibniz algebra $\g^{\wedge n-1}$. This co-representation is used to define two relative theories for Leibniz $n$-algebras with $n>2$ and obtain exact sequences relating them. As a result, we construct a spectral sequence for the Leibniz homology of Filippov algebras.

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Guy R. Biyogmam. 2012-07-02. A Relative Theory for Leibniz n-Algebras. https://arxiv.org/abs/1207.0472

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