ON THE AUTOMORPHISM GROUP OF A FREE METABELIAN LIE ALGEBRA

DOI10.1142/S0218196708004408zbMath1179.17008WikidataQ115245913 ScholiaQ115245913MaRDI QIDQ3520357

Vitaliĭ Roman'kov

Publication date: 26 August 2008

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

zbMATH Keywords

Fox derivativesfaithful representationwild automorphismstame automorphismsmetabelian Lie algebrasAutomorphisms of free and relatively free algebras

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Identities, free Lie (super)algebras (17B01) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Solvable, nilpotent (super)algebras (17B30)

Related Items (5)

Unnamed Item ⋮ Metabelian Lie and perm algebras ⋮ Automorphisms of free metabelian Lie algebras ⋮ Automorphisms of the completion of relatively free Lie algebras ⋮ On Generators of the Tame Automorphism Group of Free Metabelian Lie Algebras

Cites Work

• Unnamed Item
• Automorphisms and derivations of abelian extensions of some Lie algebras
• On Lie algebras with wild automorphisms
• On the structure of the \(GL_ 2\) of a ring
• PRIMITIVE ELEMENTS OF FREE GROUPS OF RANK 3
• Free quotients of 𝑆𝐿₂(𝑅[𝑥)]
• The tame and the wild automorphisms of polynomial rings in three variables
• The Nagata automorphism is wild

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