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
On Solvable Quadratic Lie algebras having an Abelian descending central ideal
R. García-Delgado, G. Salgado, O. A. Sánchez-Valenzuela
Solvable Lie algebras having at least one Abelian descending central ideal are studied. It is shown that all such Lie algebras can be built up from canonically defined ideals. The…
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…