Cohomology of Hom-Leibniz and $n$-ary Hom-Nambu-Lie superalgebras

Abstract

The aim of this paper is to study the cohomology of Hom-Leibniz superalgebras. We construct the $q$-deformed Heisenberg-Virasoro superalgebra of Hom-type and provide as application the computations of the derivations and second cohomology group. Moreover, we extend to graded case the Takhtajan's construction of a cohomology of $n$-ary Hom-Nambu-Lie algebras starting from cohomology of Hom-Leibniz algebras.

References in corpus (3)

• n-ary algebras: a review with applications
• Representations and Cohomology of n-ary multiplicative Hom-Nambu-Lie algebras
• Hom-Lie Superalgebras and Hom-Lie admissible Superalgebras

Cited by in corpus (3)

• Generalized Derivations and Rota-Baxter Operators of $n$-ary Hom-Nambu Superalgebras
• On split regular BiHom-Leibniz superalgebras
• $n$-ary Hom-Nambu algebras