3 citations · 6 across the 9 of their papers we have counts for
9 papers
On extensions of Frobenius-Kähler and Sasakian Lie algebras
M. C. Rodríguez-Vallarte, G. Salgado, O. A. Sánchez-Valenzuela
Extensions of Lie algebras equipped with Sasakian or Frobenius-Kähler geometrical structures are studied. Conditions are given so that a double extension of a Sasakian Lie algebra…
Double extensions for quadratic Hom-Lie algebras with equivariant twist maps
R. García-Delgado, G. Salgado, O. A. Sánchez-Valenzuela
Quadratic Hom-Lie algebras with equivariant twist maps are studied. They are completely characterized in terms of a maximal proper ideal that contains the kernel of the twist map a…
On quadratic Hom-Lie algebras with twist maps in their centroids and their relationship with quadratic Lie algebras
R. García-Delgado, G. Salgado, O. A. Sánchez-Valenzuela
Hom-Lie algebras having non-invertible twist maps in their centroids are studied. Central extensions of Hom-Lie algebras having these properties are obtained and shown how the same…
On the non-existence of sympathetic Lie algebras with dimension less than 25
A. L. Garcia-Pulido, G. Salgado
In this article we investigate the question of the lowest possible dimension that a sympathetic Lie algebra can attain, when its Levi subalgebra is…
Contact Seaweeds
Vincent E. Coll, Nicholas Mayers, Nicholas Russoniello +1
A ()dimensional contact Lie algebra is one which admits a one-form such that . Such algebras have index one, but this is not generally a sufficient…
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…
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…
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…