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On the deformations and derivations of \(n\)-ary multiplicative Hom-Nambu-Lie superalgebras - MaRDI portal

On the deformations and derivations of \(n\)-ary multiplicative Hom-Nambu-Lie superalgebras (Q2248361)

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On the deformations and derivations of \(n\)-ary multiplicative Hom-Nambu-Lie superalgebras
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    On the deformations and derivations of \(n\)-ary multiplicative Hom-Nambu-Lie superalgebras (English)
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    26 June 2014
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    Summary: 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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