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
caobt@mail.sysu.edu.cn
Li Luo
Dept. of Mathematics, East China Normal University, Shanghai 200241, China
lluo@math.ecnu.edu.cn
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
[ Fulltext-pdf (301 KB)] for subscribers only.