About the reducibility of the variety of complex Leibniz algebras

Abstract

In this paper, using the notions of perturbation and contraction of Lie and Leibniz algebras, we show that the algebraic varieties of Leibniz and nilpotent Leibniz algebras of dimension greater than 2 are reducible.

arXiv comment7 pages, translation from the original french published version (2007). Second version: corrected typos