3 papers
math.SG2026
Three-Dimensional Real Affine Lie Groups
T. Aït Aissa, S. El Bourkadi, M. W. Mansouri
We classify all left-invariant real affine connections in dimension three. Our approach reduces the three-dimensional problem to a two-dimensional one by decomposing each left-inva…
math.SG2026
Eight-Dimensional Symplectic Nilpotent Lie Groups with Lagrangian Normal Subgroups: A Complete Classification
T. Aït Aissa, M. W. Mansouri
We investigate symplectic nilpotent Lie groups with Lagrangian normal subgroups. We show that there exists a bijection between the isomorphism classes of nilpotent Lie groups with…
math.SG2025
Eight-dimensional non completely reducible symplectic Lie algebras
T. Aït Aissa, S. El Bourkadi, M. W. Mansouri +1
A non completely reducible symplectic Lie algebra is a symplectic Lie algebra which cannot be symplectically reduced to the trivial symplectic Lie algebra. Our aim is to provide a…