Second Cohomology of q-deformed Witt superalgebras

Abstract

The purpose of this paper is to compute the second adjoint cohomology group of q-deformed Witt superalgebras. They are Hom-Lie superalgebras obtained by q-deformation of Witt Lie superalgebra, that is one considers $\sigma$-derivations instead of classical derivations.

References in corpus (6)

• Deformations of Lie Algebras using $\sigma$-derivations
• Representations of hom-Lie algebras
• Cohomology of Lie superalgebras and of their generalizations
• Hom-Yang-Baxter equation, Hom-Lie algebras, and quasi-triangular bialgebras
• Paradigm of Nonassociative Hom-algebras and Hom-superalgebras
• Formal rigidity of the Witt and Virasoro Algebra

Cited by in corpus (1)

• $\mathcal{R}(p,q)$-deformed super Virasoro $n$-algebra