Geodesic
Hom-Lie Superalgebra Structures on Finite-Dimensional Simple Lie Superalgebras
Journal of Lie theory, Tome 23 (2013) no. 4, pp. 1115-1128.

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Hom-Lie superalgebras, which can be considered as deformations of Lie superalgebras, are Z2-graded generalizations of Hom-Lie algebras. In this paper, we prove that there only exists the trivial Hom-Lie superalgebra structure on a finite-dimensional simple Lie superalgebra.
Classification : 17B05, 17B40, 17B60
Mots-clés : Simple Lie superalgebra, Hom-Lie superalgebra 
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     author = {B. Cao and L. Luo },
     title = {Hom-Lie {Superalgebra} {Structures} on {Finite-Dimensional} {Simple} {Lie} {Superalgebras}},
     journal = {Journal of Lie theory},
     pages = {1115--1128},
     publisher = {mathdoc},
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     number = {4},
     year = {2013},
     url = {http://geodesic.mathdoc.fr/item/JLT_2013_23_4_JLT_2013_23_4_a13/}
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B. Cao; L. Luo . Hom-Lie Superalgebra Structures on Finite-Dimensional Simple Lie Superalgebras. Journal of Lie theory, Tome 23 (2013) no. 4, pp. 1115-1128. http://geodesic.mathdoc.fr/item/JLT_2013_23_4_JLT_2013_23_4_a13/