Multiplicative Hom-Lie superalgebra structures on infinite dimensional simple Lie superalgebras of vector fields

Abstract

This paper considers the multiplicative Hom-Lie superalgebra structures on infinite dimensional simple Lie superalgebras of vector fields with characteristic zero. The main result is that there is only the multiplicative Hom-Lie superalgebra structure on these Lie superalgebras.

9 pages

References in corpus (2)

• Representations of hom-Lie algebras
• Hom-Lie superalgebra structures on finite-dimensional simple Lie superalgebras

Cited by in corpus (3)

• Cohomology and 1-parameter formal deformations of Hom-Lie triple systems
• Transposed Poisson structures
• Hom-Lie superalgebra structures on exceptional simple Lie superalgebras of vector fields