2 papers
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…
math.RA2024
Symplectic Leibniz algebras as a non-commutative version of symplectic Lie algebras
Fatima-Ezzahrae Abid, Mohamed Boucetta
We introduce symplectic left Leibniz algebras and symplectic right Leibniz algebras as generalizations of symplectic Lie algebras. These algebras possess a left symmetric product a…