H. Abchir

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20192022

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math.DG2020

On $k$ -para-Kähler Lie algebras a subclass of $k$ -symplectic Lie algebras

Hamid Abchir, Ilham Ait Brik, Mohamed Boucetta

$k$ -Para-Kähler Lie algebras are a generalization of para-Kähler Lie algebras $(k = 1)$ and constitute a subclass of $k$ -symplectic Lie algebras. In this paper, we show that the char…

math.DG2019

Analytic Linear Lie rack Structures on Leibniz Algebras

Hamid Abchir, Fatima-Ezzahrae Abid, Mohamed Boucetta

A linear Lie rack structure on a finite dimensional vector space $V$ is a Lie rack operation $(x, y) \mapsto x ⊳ y$ pointed at the origin and such that for any $x$ , the left transl…

On k-para-Kähler Lie algebras a subclass of k-symplectic Lie algebras

Analytic Linear Lie rack Structures on Leibniz Algebras

On $k$ -para-Kähler Lie algebras a subclass of $k$ -symplectic Lie algebras