4 papers · 1 filter
On Zel'manov's global nilpotence theorem for Engel Lie algebras
Michael Vaughan-Lee
I give a proof of Zel'manov's theorem that if is an -Engel Lie algebra over a field of characteristic zero then is (globally) nilpotent. This is a very important res…
5-Engel Lie algebras II
Michael Vaughan-Lee
In my article 5-Engel algebras published on the arXiv in 2023 I proved that 5-Engel Lie algebras of characteristic zero or prime characteristic are nilpotent of class at most…
5-Engel Lie algebras
Michael Vaughan-Lee
We prove that 5-Engel Lie algebras over a field of characteristic zero, or over a field of prime characteristic , are nilpotent of class at most 11. We also prove that if …
Bases for free Lie superalgebras
Michael Vaughan-Lee
We describe a basis for free Lie superalgebras which uses the theory of basic commutators. The only description for bases for free Lie superalgebras that I have found in the litera…