4 papers · 1 filter
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…
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…
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…
Symplectic Novikov Lie Algebra
Taric Aît Aissa, Wadia Mansouri
It is well known that a symplectic Lie algebra admit a left symmetric product. In this work, we study the case where this product is Novikov, we show that the left-symmetric produc…