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math.DG2024
On solvable complete symplectic Lie algebras
M. Benyoussef, M. W. Mansouri, SM. Sbai
In this paper, we are interested in solvable complete Lie algebras, over the field $\K=\R$ or , which admit a symplectic structure. Specifically, important classes are…
math.RA2024
Cosymplectic Jacobi-Jordan Algebras
S. El bourkadi, M. W. Mansouri
We introduce the notion of cosymplectic structure on Jacobi-Jordan algebras, and we state that they are related to symplectic Jacobi-Jordan algebras. We show, in particular, that t…
math.SG2024
A complete classification of symplectic forms on six-dimensional Frobeniusian real Lie algebras
T. Aït Aissa, S. Elbourkadi, M. W. Mansouri
In this paper, we give a complete classification of symplectic structures on six-dimensional Frobeniusian solvable Lie algebras, up to symplectomorphism. We provide a scheme to cla…