3 papers
math.RA2024
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…
math.RA2023
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…
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…