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arXiv · 1203.0136

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

Bintao Cao·Li Luo
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Abstract

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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Bintao Cao, Li Luo. 2012-03-01. Hom-Lie superalgebra structures on finite-dimensional simple Lie superalgebras. https://arxiv.org/abs/1203.0136

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