Representations and formal deformations of Hom-Leibniz algebras. (English) Zbl 1495.17003
Summary: In this paper, some results on representations of Hom-Leibniz algebras are found. Specifically the adjoint representation and trivial representation of Hom-Leibniz algebras are studied in detail. Deformations and central extensions of Hom-Leibniz algebras are also studied as applications.
MSC:
| 17A32 | Leibniz algebras |
| 17B61 | Hom-Lie and related algebras |
| 17B56 | Cohomology of Lie (super)algebras |
Keywords:
Hom-Leibniz algebras; representations of Hom-Leibniz algebras; derivations; deformations; extensionsReferences:
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