Hom-Lie superalgebra structures on finite-dimensional simple Lie superalgebras
Quantum Algebra
2012-03-06 v2
Abstract
Hom-Lie superalgebras, which can be considered as a deformation of Lie superalgebras, are -graded generalization of Hom-Lie algebras. In this paper, we prove that there is only the trivial Hom-Lie superalgebra structure over a finite-dimensional simple Lie superalgebra.
Keywords
Cite
@article{arxiv.1203.0136,
title = {Hom-Lie superalgebra structures on finite-dimensional simple Lie superalgebras},
author = {Bintao Cao and Li Luo},
journal= {arXiv preprint arXiv:1203.0136},
year = {2012}
}
Comments
12 pages