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Journal of Lie Theory 23 (2013), No. 4, 1115--1128
Copyright Heldermann Verlag 2013

Hom-Lie Superalgebra Structures on Finite-Dimensional Simple Lie Superalgebras

Bintao Cao
School of Mathematics and Computational Science, Sun Yat-Sen University, Guangzhou 510275, China

Li Luo
Dept. of Mathematics, East China Normal University, Shanghai 200241, China

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.

Keywords: Simple Lie superalgebra, Hom-Lie superalgebra.

MSC: 17B05, 17B40, 17B60

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