Chomology of Heisenberg Hom-Lie algebras

Abstract

In this paper, we define the Heisenberg Hom-Lie algebra. We determine the minimal dimension of faithful representation for Heisenberg Hom-Lie algebra.We study the adjoint representation, the trivial representation and the faithful representation of Heisenberg Hom-Lie algebra.

References in corpus (3)

• Deformations of Lie Algebras using $\sigma$-derivations
• Representations of hom-Lie algebras
• The minimal dimensions of faithful representations for Heisenberg Lie superalgebras