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math.DG2026
A complete description of solvable symplectic Lie algebras
Abdelhak Abouqateb, Saïd Benayadi, Othmane Dani
In this paper, we present a complete characterization of solvable symplectic Lie algebras via a symplectic double extension process. We demonstrate that any such algebra is either…
math.DG2025
Cyclic Riemannian Lie groups: description and curvatures
Fatima-Ezzahrae Abid, Said Benayadi, Mohamed Boucetta +2
A cyclic Riemannian Lie group is a Lie group equipped with a left-invariant Riemannian metric that satisfies for any left-invariant vector field…