Hom-Lie superalgebra structures on exceptional simple Lie superalgebras of vector fields
Rings and Algebras
2018-09-05 v1 Algebraic Geometry
Abstract
In this paper, the Hom-Lie superalgebra structures on exceptional simple Lie superalgebras of vector fields are studied. Taking advantage of the Z-grading structures and the transitivity, we prove that there is only the trivial Hom-Lie superalgebra structures on exceptional simple Lie superalgebras. Our proof is obtained by studying the Hom-Lie superalgebra structures on their 0-th and -1-st Z-components.
Keywords
Cite
@article{arxiv.1604.02863,
title = {Hom-Lie superalgebra structures on exceptional simple Lie superalgebras of vector fields},
author = {Liping Sun and Wende Liu},
journal= {arXiv preprint arXiv:1604.02863},
year = {2018}
}
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14 pages