JOURNAL OF LIE THEORY, vol.18, no.1, pp.205-214, 2008 (SCI-Expanded)
We show how to detect non-tame automorphisms by using a criterion which is based on the Dieudonne determinant and we construct some specific non-tame automorphisms of free metabelian Lie algebras and free Lie algebras of the form F/gamma(m)(F)'.