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

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Sun L., Liu W.

Open Mathematics

2017

tom 15

nr 1

1332-1343

According to the classification by Kac, there are eight Cartan series and five exceptional Lie superalgebras in infinite-dimensional simple linearly compact Lie superalgebras of vector fields. In this paper, the Hom-Lie superalgebra structures on the five exceptional Lie superalgebras of vector fields are studied. By making use 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. This is achieved by studying the Hom-Lie superalgebra structures only on their 0-th and (−1)-th ℤ-components.

Ograniczanie wyników

1 Open Mathematics

1 Liu W.

1 Sun L.

1 2017

Wyniki wyszukiwania

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