On the Cohomology and Extensions of n-ary Multiplicative Hom-Nambu-Lie Superalgebras
Joint Authors
Tian, Lijun
Guan, Baoling
Ma, Yao
Source
Advances in Mathematical Physics
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-08-01
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
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 Z1b,a0¯.
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.
American Psychological Association (APA)
Tian, Lijun& Guan, Baoling& Ma, Yao. 2020. On the Cohomology and Extensions of n-ary Multiplicative Hom-Nambu-Lie Superalgebras. Advances in Mathematical Physics،Vol. 2020, no. 2020, pp.1-17.
https://search.emarefa.net/detail/BIM-1127310
Modern Language Association (MLA)
Tian, Lijun…[et al.]. On the Cohomology and Extensions of n-ary Multiplicative Hom-Nambu-Lie Superalgebras. Advances in Mathematical Physics No. 2020 (2020), pp.1-17.
https://search.emarefa.net/detail/BIM-1127310
American Medical Association (AMA)
Tian, Lijun& Guan, Baoling& Ma, Yao. On the Cohomology and Extensions of n-ary Multiplicative Hom-Nambu-Lie Superalgebras. Advances in Mathematical Physics. 2020. Vol. 2020, no. 2020, pp.1-17.
https://search.emarefa.net/detail/BIM-1127310
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1127310