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On the Deformations and Derivations of -Ary Multiplicative Hom-Nambu-Lie Superalgebras

Author

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  • Baoling Guan
  • Liangyun Chen
  • Yao Ma

Abstract

We introduce the relevant concepts of -ary multiplicative Hom-Nambu-Lie superalgebras and construct three classes of -ary multiplicative Hom-Nambu-Lie superalgebras. As a generalization of the notion of derivations for -ary multiplicative Hom-Nambu-Lie algebras, we discuss the derivations of -ary multiplicative Hom-Nambu-Lie superalgebras. In addition, the theory of one parameter formal deformation of -ary multiplicative Hom-Nambu-Lie superalgebras is developed by choosing a suitable cohomology.

Suggested Citation

  • Baoling Guan & Liangyun Chen & Yao Ma, 2014. "On the Deformations and Derivations of -Ary Multiplicative Hom-Nambu-Lie Superalgebras," Advances in Mathematical Physics, Hindawi, vol. 2014, pages 1-9, June.
    • Handle: RePEc:hin:jnlamp:381683
    DOI: 10.1155/2014/381683
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