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Representations and Deformations of Hom-Lie-Yamaguti Superalgebras

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Let L,α be a Hom-Lie-Yamaguti superalgebra. We first introduce the representation and cohomology theory of Hom-Lie-Yamaguti superalgebras. Also, we introduce the notions of generalized derivations and representations of L,α and… Click to show full abstract

Let L,α be a Hom-Lie-Yamaguti superalgebra. We first introduce the representation and cohomology theory of Hom-Lie-Yamaguti superalgebras. Also, we introduce the notions of generalized derivations and representations of L,α and present some properties. Finally, we investigate the deformations of L,α by choosing some suitable cohomology.

Keywords: lie yamaguti; representations deformations; yamaguti superalgebras; hom lie; deformations hom

Journal Title: Advances in Mathematical Physics
Year Published: 2020

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