3 papers
math.RA2020
Hom-Lie algebra structures on quadratic Lie algebras and twisted invariant Killing-like forms defined on them
R. García-Delgado, G. Salgado, O. A. Sánchez-Valenzuela
Hom-Lie algebras defined on central extensions of a given quadratic Lie algebra that in turn admit an invariant metric, are studied. It is shown how some of these algebras are natu…
math.RA2019
Generalized derivations and Hom-Lie algebra structures on
R. García-Delgado
The purpose of this paper is to show that there are Hom-Lie algebra structures on , where is a special type of generalized deriv…
math.RA2019
On 3-dimensional complex Hom-Lie algebras
R. García-Delgado, G. Salgado, O. A. Sánchez-Valenzuela
We study and classify the 3-dimensional Hom-Lie algebras over . We provide first a complete set of representatives for the isomorphism classes of skew-symmetric bilinea…