On the automorphisms of a free Lie algebra of rank 3 over an integral domain

DOI10.1134/S0037446620010012zbMath1474.17010arXiv2001.00382OpenAlexW3099469251WikidataQ115248359 ScholiaQ115248359MaRDI QIDQ2191335

R. Zh. Nauryzbaev, Alibek Alpysbaevich Alimbaev, Ualbei Utmakhanbetovich Umirbaev

Publication date: 24 June 2020

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.00382

zbMATH Keywords

automorphismfree Lie algebrafree productEuclidean domaintame automorphism

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Automorphisms and endomorphisms (16W20) Identities, free Lie (super)algebras (17B01) Superalgebras (17A70) Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem) (14R10) Nonassociative algebras satisfying other identities (17A30) Free nonassociative algebras (17A50)

Related Items

Automorphisms of simple quotients of the Poisson and universal enveloping algebras of sl2

Cites Work

• Algorithmic properties of free rings
• On subrings of free rings
• Die Unterringe der freien Lieschen Ringe
• Subalgebras of free colored Lie superalgebras
• Free Lie superalgebras
• The amalgamated free product structure of \(\mathrm{GL}_2(k[X_1,\dots ,X_n )\) and the weak Jacobian theorem for two variables]
• The Nagata automorphism of free nonassociative algebras of rank two over Euclidean domains
• Nonabelian 1-cohomologies and conjugacy of finite subgroups in some extensions.
• Linearization of automorphisms and triangulation of derivations of free algebras of rank 2
• Automorphisms and derivations of free Poisson algebras in two variables
• The Anick automorphism of free associative algebras
• THE FREIHEITSSATZ AND THE AUTOMORPHISMS OF FREE RIGHT-SYMMETRIC ALGEBRAS
• The tame and the wild automorphisms of polynomial rings in three variables
• Subalgebras of Free Associative Algebras
• On Schreier Varieties of Linear Algebras
• Automorphisms of a Free Associative Algebra of Rank 2.I
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item