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arXiv · 1401.0584

On the deformations and derivations of $n$-ary multiplicative Hom-Nambu-Lie superalgebras

Baoling Guan·Liangyun Chen
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Abstract

In this paper, we introduce the relevant concepts of $n$-ary multiplicative Hom-Nambu-Lie superalgebras and construct three classes of $n$-ary multiplicative Hom-Nambu-Lie superalgebras. As a generalization of the notion of derivations for $n$-ary multiplicative Hom-Nambu-Lie algebras, we discuss the derivations of $n$-ary multiplicative Hom-Nambu-Lie superalgebras. In addition, the theory of one parameter formal deformation of $n$-ary multiplicative Hom-Nambu-Lie superalgebras is developed by choosing a suitable cohomology.

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Baoling Guan, Liangyun Chen. 2014-01-03. On the deformations and derivations of $n$-ary multiplicative Hom-Nambu-Lie superalgebras. https://arxiv.org/abs/1401.0584

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