M. Boucetta

activity

20012026

most citedPoisson algebras and symmetric Leibniz bialgebra structures on oscillator Lie algebras

27 citations · 98 across the 43 of their papers we have counts for

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2 papers · 1 filter

math.DG2023

Complete Description of Invariant, Associative Pseudo-Euclidean Metrics on Left Leibniz Algebras via Quadratic Lie Algebras

Fatima-Ezzahrae Abid, Mohamed Boucetta

A pseudo-Euclidean non-associative algebra $(g, ∙)$ is a real algebra of finite dimension that has a metric, i.e., a bilinear, symmetric, and non-degenerate form $…

math.DG2023

On the Existence and Properties of Left Invariant $k$ -Symplectic Structures on Lie Groups with Bi-Invariant Pseudo-Riemannian Metric

Ilham Ait Brik, Mohamed Boucetta

$k$ -symplectic manifolds are a convenient framework to study classical field theories and they are a generalization of polarized symplectic manifolds. This paper focus on the exist…

Complete Description of Invariant, Associative Pseudo-Euclidean Metrics on Left Leibniz Algebras via Quadratic Lie Algebras

On the Existence and Properties of Left Invariant k-Symplectic Structures on Lie Groups with Bi-Invariant Pseudo-Riemannian Metric

On the Existence and Properties of Left Invariant $k$ -Symplectic Structures on Lie Groups with Bi-Invariant Pseudo-Riemannian Metric