On the Deformations and Derivations of -Ary Multiplicative Hom-Nambu-Lie Superalgebras

Baoling Guan, Liangyun Chen and Yao Ma

Advances in Mathematical Physics, 2014, vol. 2014, 1-9

Abstract:

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

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:381683

DOI: 10.1155/2014/381683

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