Image of Lie polynomial of degree 2 evaluated on nilpotent Lie algebra

DOI10.1080/00927872.2022.2087227OpenAlexW4225100556MaRDI QIDQ5872605

Niranjan Nehra, Shushma Rani

Publication date: 2 January 2023

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

Full work available at URL: https://arxiv.org/abs/2204.13050

zbMATH Keywords

nilpotent Lie algebrabreadthisoclinismFrattini subalgebramultilinear Lie polynomials

Mathematics Subject Classification ID

Structure theory for nonassociative algebras (17A60) Structure theory for Lie algebras and superalgebras (17B05) Solvable, nilpotent (super)algebras (17B30)

Related Items

Polynomial identities and images of polynomials on null-filiform Leibniz algebras

Cites Work

• Unnamed Item
• On the images of Lie polynomials evaluated on Lie algebras
• On nilpotent Lie algebras of small breadth
• Classification of 6-dimensional nilpotent Lie algebras over fields of characteristic not 2
• The Ore conjecture.
• Characterization of nilpotent Lie algebras of breadth 3 over finite fields of odd characteristic
• Commutators and commutator subgroups of finite \(p\)-groups
• Evaluations of noncommutative polynomials on algebras: methods and problems, and the L'vov-Kaplansky conjecture
• On the commutator map for real semisimple Lie algebras
• The images of non-commutative polynomials evaluated on 2×2 matrices
• The images of Lie polynomials evaluated on matrices
• On commutators in p-groups
• On Commutators in a Simple Lie Algebra
• The Frattini Subalgebra of a Lie Algebra
• On the Frattini Subalgebra of a Lie Algebra
• A Frattini Theory for Algebras