Locally nilpotent derivations and automorphisms of free associative algebra with two generators

Autor(es)

Crode, Sidney Dale ^[1] ; Shestakov, Ivan P. ^{[1, 2]}

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Inst Matemat & Estat, Sao Paulo - Brazil

^[2] Sobolev Inst Math, Novosibirsk - Russia

• Tipo de documento: Artigo Científico
• Fonte: COMMUNICATIONS IN ALGEBRA; v. 48, n. 7 MAR 2020.
• Citações Web of Science: 0

Resumo

We prove that every locally nilpotent derivation D of the free associative algebra over a field of characteristic 0 is triangulable, that is, admits a system of generators of A such that This is an analog of the well-known Rentschler theorem for the algebra of polynomials As a corollary, we obtain a new proof of the classical Czerniakiewicz-Makar Limanov theorem on the isomorphism of the groups and for the case of characteristic O. Communicated by Pavel Kolesnikov (AU)

• Processo FAPESP: 18/23690-6 - Estruturas, representações e aplicações de sistemas algébricos
• Beneficiário: Ivan Chestakov
• Modalidade de apoio: Auxílio à Pesquisa - Temático