\(\delta\)-Hom-Jordan Lie superalgebras. (English) Zbl 1434.17025
Summary: This paper is primarily concerned with \(\delta\)-Hom-Jordan Lie superalgebras. We discuss the concepts of \(\alpha^k\)-derivations, representations and \(T^\ast\)-extensions of \(\delta\)-Hom-Jordan Lie superalgebras in detail, and some cohomological characterizations are established.
MSC:
| 17B61 | Hom-Lie and related algebras |
| 17B56 | Cohomology of Lie (super)algebras |
| 16S80 | Deformations of associative rings |
Keywords:
\(\delta\)-Hom-Jordan Lie superalgebras; deformations; derivations; representations; \(T^\ast\)-extensionsReferences:
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