4 papers
Structure of Flat Quadratic Quasi-Frobenius Lie Superalgebras via Double Extensions
Sofiane Bouarroudj, Hamza El Ouali
A flat quadratic quasi-Frobenius Lie superalgebra is a quadratic Lie superalgebra equipped with an additional symplectic structure that is flat with respect to the natural symplect…
Flat quasi-Frobenius Lie superalgebras
Sofiane Bouarroudj, Hamza El Ouali
A non-associative superalgebra is called pre-symplectic if it is equipped with a non-degenerate, anti-symmetric bilinear form. It is called quasi-Frobenius if, in addition, is a Li…
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…
Flat symplectic Lie algebras
Mohamed Boucetta, Hamza El Ouali, Hicham Lebzioui
Let be a symplectic Lie group, i.e, a Lie group endowed with a left invariant symplectic form. If $\G$ is the Lie algebra of then we call $(\G,ω=\Om(e))$ a symplectic L…