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math.RA2022
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…
math.RT2022
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…