3 citations · 4 across the 4 of their papers we have counts for
4 papers
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…
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…
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…
Invariant metrics on central extensions of Quadratic Lie algebras
R. García-Delgado, G. Salgado, O. A. Sánchez-Valenzuela
A quadratic Lie algebra is a Lie algebra endowed with a symmetric, invariant and non degenerate bilinear form; such a bilinear form is called an invariant metric. The aim of this w…