Hom-Lie superalgebra structures on finite-dimensional simple Lie superalgebras
Abstract
Hom-Lie superalgebras, which can be considered as a deformation of Lie superalgebras, are Z2-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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