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Autor:
Vaughan-Lee, Michael
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 $p>7$ are nilpotent of class at most 11. In this note I investigate the ideal ID$(x)$ generated by an elem
Externí odkaz:
http://arxiv.org/abs/2410.11524
Autor:
Vaughan-Lee, Michael
We prove that 5-Engel Lie algebras over a field of characteristic zero, or over a field of prime characteristic $p>7$, are nilpotent of class at most 11. We also prove that if $G$ is a finite 5-Engel $p$-group for $p>7$ then $G$ is nilpotent of class
Externí odkaz:
http://arxiv.org/abs/2401.01785
Autor:
Vaughan-Lee, Michael
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 literature is in the book "Infinite dimensional Lie superalgebras" by Bahtur
Externí odkaz:
http://arxiv.org/abs/2401.01174