Kabanov, A. N.; Roman’kov, V. A. Strictly nontame primitive elements of the free metabelian Lie algebra of rank 3. (Russian, English) Zbl 1224.17012 Sib. Mat. Zh. 50, No. 1, 82-95 (2009); translation in Sib. Math. J. 50, No. 1, 66-76 (2009). Summary: We prove that the free metabelian Lie algebra \(M_3\) of rank 3 over an arbitrary field \(K\) admits strictly nontame primitive elements. Cited in 2 Documents MSC: 17B01 Identities, free Lie (super)algebras 17B40 Automorphisms, derivations, other operators for Lie algebras and super algebras Keywords:Lie algebra; automorphism; tame automorphism; primitive element; free algebra; free derivation PDFBibTeX XMLCite \textit{A. N. Kabanov} and \textit{V. A. Roman'kov}, Sib. Mat. Zh. 50, No. 1, 82--95 (2009; Zbl 1224.17012); translation in Sib. Math. J. 50, No. 1, 66--76 (2009) Full Text: EuDML EMIS