• Corpus ID: 119577857

Hom-Lie superalgebra structures on finite-dimensional simple Lie superalgebras

  title={Hom-Lie superalgebra structures on finite-dimensional simple Lie superalgebras},
  author={Bintao Cao and Lipeng Luo},
  journal={arXiv: Quantum Algebra},
Hom-Lie superalgebras, which can be considered as a deformation of Lie superalgebras, are $\mathbb{Z}_2$-graded generalization of Hom-Lie algebras. In this paper, we prove that there is only the trivial Hom-Lie superalgebra structure over a finite-dimensional simple Lie superalgebra. 
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