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 ${\mathbb{Z}}_2$-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.

12 pages

References in corpus (1)

• Hom-algebras and homology

Cited by in corpus (1)

• BiHom-Lie superalgebra structures