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

• Autorzy: Liping Sun , Wende Liu
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Exceptional Lie superalgebra; Hom-Lie superalgebra structure; Gradation; Transitivity

Kategorie tematyczne

• 17B66: Lie algebras of vector fields and related (super) algebras
• 17B65: Infinite-dimensional Lie (super)algebras
• 17B40: Automorphisms, derivations, other operators

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2017
• Tom: 15
• Numer: 1
• Strony: 1332-1343

Daty

wydano

2017-01-01

otrzymano

2016-09-13

zaakceptowano

2017-09-14

online

2017-11-13

Twórcy

autor

Liping Sun

• , , , ,

autor

Wende Liu

• , , , ,

Identyfikatory

DOI

10.1515/math-2017-0112