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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.

MSC:

17B01 Identities, free Lie (super)algebras
17B40 Automorphisms, derivations, other operators for Lie algebras and super algebras
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