19 citations · 24 across the 10 of their papers we have counts for
10 papers
Kählerian oxidation and reduction of Lie algebras with Kähler structures
Mustapha Bachaou, Ignacio Bajo, Mohamed Louzari
A Kähler structure on a real Lie algebra is a pair of a 2-cocycle and a complex structure on which are compatible in the sense that is sk…
Non-existence of symmetric biderivations on finite-dimensional perfect Lie algebras
Ignacio Bajo, Saïd Benayadi, Hassan Oubba
We show that there are no symmetric non-zero biderivations on perfect Lie algebras of finite dimension over a field of characteristic zero. We show that this is equivalent to show…
On pseudo-Hermitian quadratic nilpotent Lie algebras
Mustapha Bachaou, Ignacio Bajo, Mohamed Louzari
We study nilpotent Lie algebras endowed with a complex structure and a quadratic structure which is pseudo-Hermitian for the given complex structure. We propose several methods to…
Invariant quadrics and orbits for a family of rational systems of difference equations
Ignacio Bajo
We study the existence of invariant quadrics for a class of systems of difference equations in defined by linear fractionals sharing denominator. Such systems can b…
Pseudo-Kähler Lie algebras with abelian complex structures
Ignacio Bajo, Esperanza Sanmartín
We study Lie algebras endowed with an abelian complex structure which admit a symplectic form compatible with the complex structure. We prove that each of those Lie algebras is com…
Dynamics of a rational system of difference equations in the plane
Ignacio Bajo, Daniel Franco, Juan Perán
We consider a rational system of first order difference equations in the plane with four parameters such that all fractions have a common denominator. We study, for the different v…