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

B. Cao; L. Luo

doi:10.5802/jolt.769

B. Cao; L. Luo

Journal of Lie Theory, Volume 23 (2013) no. 4, pp. 1115-1128

Abstract

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.

arXiv Zbl

DOI: 10.5802/jolt.769

Classification: 17B05, 17B40, 17B60
Keywords: Simple Lie superalgebra, Hom-Lie superalgebra

@article{JOLT_2013_23_4_a13,
     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},
     year = {2013},
     volume = {23},
     number = {4},
     doi = {10.5802/jolt.769},
     zbl = {1362.17057},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.769/}
}

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B. Cao; L. Luo. Hom-Lie Superalgebra Structures on Finite-Dimensional Simple Lie Superalgebras. Journal of Lie Theory, Volume 23 (2013) no. 4, pp. 1115-1128. doi: 10.5802/jolt.769

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