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

@article{Cao2012HomLieSS, title={Hom-Lie superalgebra structures on finite-dimensional simple Lie superalgebras}, author={Bintao Cao and Lipeng Luo}, journal={arXiv: Quantum Algebra}, year={2012} }

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.

## 5 Citations

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