A class of Lie racks associated to symmetric Leibniz algebras

Abchir Hamid, Fatima-Ezzahrae Abid, Mohamed Boucetta

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