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Representations and Deformations of Hom-Lie-Yamaguti Superalgebras

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  • Shuangjian Guo
  • Xiaohui Zhang
  • Shengxiang Wang

Abstract

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.

Suggested Citation

  • Shuangjian Guo & Xiaohui Zhang & Shengxiang Wang, 2020. "Representations and Deformations of Hom-Lie-Yamaguti Superalgebras," Advances in Mathematical Physics, Hindawi, vol. 2020, pages 1-12, June.
    • Handle: RePEc:hin:jnlamp:9876738
    DOI: 10.1155/2020/9876738
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