文章基本信息

标题：On the Cohomology and Extensions of n -ary Multiplicative Hom-Nambu-Lie Superalgebras
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作者：Lijun Tian ; Baoling Guan ; Yao Ma 等
期刊名称：Advances in Mathematical Physics
印刷版ISSN：1687-9120
电子版ISSN：1687-9139
出版年度：2020
卷号：2020
页码：1-17
DOI：10.1155/2020/1961836
出版社：Hindawi Publishing Corporation
摘要：In this paper, we discuss the representations of n -ary multiplicative Hom-Nambu-Lie superalgebras as a generalization of the notion of representations for n -ary multiplicative Hom-Nambu-Lie algebras. We also give the cohomology of an n -ary multiplicative Hom-Nambu-Lie superalgebra and obtain a relation between extensions of an n -ary multiplicative Hom-Nambu-Lie superalgebra b by an abelian one a and Z 1 b , a 0 ¯ . We also introduce the notion of T ∗ -extensions of n -ary multiplicative Hom-Nambu-Lie superalgebras and prove that every finite-dimensional nilpotent metric n -ary multiplicative Hom-Nambu-Lie superalgebra over an algebraically closed field of characteristic not 2 in the case α is a surjection is isometric to a suitable T ∗ -extension.