On the Cohomology and Extensions of - ary Multiplicative Hom-Nambu-Lie Superalgebras

Lijun Tian, Baoling Guan and Yao Ma

Advances in Mathematical Physics, 2020, vol. 2020, 1-17

Abstract:

In this paper, we discuss the representations of - ary multiplicative Hom-Nambu-Lie superalgebras as a generalization of the notion of representations for - ary multiplicative Hom-Nambu-Lie algebras. We also give the cohomology of an - ary multiplicative Hom-Nambu-Lie superalgebra and obtain a relation between extensions of an - ary multiplicative Hom-Nambu-Lie superalgebra by an abelian one and . We also introduce the notion of - extensions of - ary multiplicative Hom-Nambu-Lie superalgebras and prove that every finite-dimensional nilpotent metric - ary multiplicative Hom-Nambu-Lie superalgebra over an algebraically closed field of characteristic not 2 in the case is a surjection is isometric to a suitable - extension.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:1961836

DOI: 10.1155/2020/1961836

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