1School of Mathematics and Computational Science, Sun Yat-Sen University, Guangzhou 510275, China 2Dept. of Mathematics, East China Normal University, Shanghai 200241, China
Journal of Lie Theory, Tome 23 (2013) no. 4, pp. 1115-1128
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.
1
School of Mathematics and Computational Science, Sun Yat-Sen University, Guangzhou 510275, China
2
Dept. of Mathematics, East China Normal University, Shanghai 200241, China
Bintao Cao; Li 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/JOLT_2013_23_4_a13/
@article{JOLT_2013_23_4_a13,
author = {Bintao Cao and Li Luo},
title = {Hom-Lie {Superalgebra} {Structures} on {Finite-Dimensional} {Simple} {Lie} {Superalgebras}},
journal = {Journal of Lie Theory},
pages = {1115--1128},
year = {2013},
volume = {23},
number = {4},
url = {http://geodesic.mathdoc.fr/item/JOLT_2013_23_4_a13/}
}
TY - JOUR
AU - Bintao Cao
AU - Li Luo
TI - Hom-Lie Superalgebra Structures on Finite-Dimensional Simple Lie Superalgebras
JO - Journal of Lie Theory
PY - 2013
SP - 1115
EP - 1128
VL - 23
IS - 4
UR - http://geodesic.mathdoc.fr/item/JOLT_2013_23_4_a13/
ID - JOLT_2013_23_4_a13
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