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arXiv · 1911.09854

Representations and deformations of Hom-Lie-Yamaguti superalgebras

Shuangjian Guo·Xiaohui Zhang·Shengxiang Wang
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Abstract

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

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Shuangjian Guo, Xiaohui Zhang, Shengxiang Wang. 2019-11-22. Representations and deformations of Hom-Lie-Yamaguti superalgebras. https://arxiv.org/abs/1911.09854

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