Hom-Lie superalgebra structures on exceptional simple Lie superalgebras of vector fields

Liping Sun; Wende Liu

doi:10.1515/math-2017-0112

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arXiv · 1604.02863

Hom-Lie superalgebra structures on exceptional simple Lie superalgebras of vector fields

Liping Sun·Wende Liu

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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.

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Liping Sun, Wende Liu. 2016-04-11. Hom-Lie superalgebra structures on exceptional simple Lie superalgebras of vector fields. https://doi.org/10.1515/math-2017-0112

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