Representations and Deformations of Hom-Lie-Yamaguti Superalgebras,Advances in Mathematical Physics

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Representations and Deformations of Hom-Lie-Yamaguti Superalgebras
Advances in Mathematical Physics ( IF 1.2 ) Pub Date : 2020-06-18 , DOI: 10.1155/2020/9876738
Shuangjian Guo ₁ , Xiaohui Zhang ₂ , Shengxiang Wang ₃

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Let 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 and present some properties. Finally, we investigate the deformations of by choosing some suitable cohomology.

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