Fatima-Ezzahrae Abid

collaborators

2 papers

math.RA2021

A class of Lie racks associated to symmetric Leibniz algebras

Abchir Hamid, Fatima-Ezzahrae Abid, Mohamed Boucetta

Given a symmetric Leibniz algebra $(L, .)$ , the product is Lie-admissible and defines a Lie algebra bracket $[,]$ on $L$ . Let $G$ be the connected and simply…

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…