Geodesic
Non-tame automorphisms of free polynilpotent Lie algebras
Serdica Mathematical Journal, Tome 47 (2022) no. 2, pp. 107-112 Cet article a éte moissonné depuis la source Bulgarian Digital Mathematics Library

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Let \(L\) be a free Lie algebra generated by \(x\) and \(y\) over an arbitrary field \(K\) of any characteristic and let \(V\) be an ideal of \(L\) of the form \(V = (\ldots((L^{k_m})^{k_{m-1}})\ldots)^{k_1}\), \(k_i\geq 2\),\($i=1,\ldots,m\), \(m\geq 2\), i.e. \(L/V\) is a non-trivial 2-generated free polynilpotent Lie algebra. We have established that the algebra \(L/V\) has non-tame IA-automorphisms.
Keywords: IA-automorphisms, non-tame automorphisms, 17B01, 17B30, 17B40 
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     author = {Ayd{\i}n, Ela},
     title = {Non-tame automorphisms of free polynilpotent {Lie} algebras},
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     year = {2022},
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Aydın, Ela. Non-tame automorphisms of free polynilpotent Lie algebras. Serdica Mathematical Journal, Tome 47 (2022) no. 2, pp. 107-112. http://geodesic.mathdoc.fr/item/SMJ2_2022_47_2_a1/