Obstructions to lifting automorphisms of free algebras

DOI10.1080/00927879308824804zbMath0797.16032OpenAlexW2080185767MaRDI QIDQ4275268

Roger M. Bryant, Vesselin Drensky

Publication date: 13 January 1994

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879308824804

zbMATH Keywords

endomorphismsfree algebrahomogeneous varietywild automorphismsvarieties of Lie algebraslocally nilpotent varieties

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) (T)-ideals, identities, varieties of associative rings and algebras (16R10)

Related Items

Automorphisms of free polynilpotent lie algebras ⋮ Wild automorphisms of free metabelian algebras. ⋮ Solvability and nilpotency of Novikov algebras ⋮ AUTOMORPHISMS OF CERTAIN RELATIVELY FREE GROUPS AND LIE ALGEBRAS ⋮ Automorphisms of Free Left Nilpotent Leibniz Algebras and Fixed Points ⋮ On automorphisms of free center-by-metabelian and nilpotent groups and Lie algebras ⋮ Wild automorphisms of nilpotent-by-abelian Lie algebras ⋮ The strong Anick conjecture is true. ⋮ Automorphisms of finitely generated relatively free bicommutative algebras

Cites Work

• Applications of a noncommutative Jacobian matrix
• Non-tame automorphisms of free nilpotent groups
• Zu einem von B. H. und H. Neumann gestellten Problem
• Automorphisms of Free Nilpotent Lie Algebras
• A jacobian conjecture for free associative algebras