On a complete rigid Leibniz non-Lie algebra in arbitrary dimension (Q1947100)

Leibniz algebras present a natural (non anti-symmetric) generalization of Lie algebras. In the present paper the authors give an example of a rigid Leibniz non-Lie algebra in arbitrary dimension \(n \geq 3\) with the additional property that the nilradical (i.e. the maximal nilpotent ideal) is also rigid in the variety of nilpotent Leibniz algebras. Further they show that this algebra is complete (i.e., any derivation of this algebra is inner), and analyze the possible contractions of this Leibniz algebra onto Lie algebras.