The symmetric Poincar\'e-Birkhoff-Witt theorem and Dynkin-Magnus commutators
Rings and Algebras
2024-07-30 v1
Abstract
The objective of this paper is to give alternative proofs for the symmetric Poincar\'e-Birkhoff-Witt theorem utilizing the Magnus recursion formulae or Dynkin's non-commutative polynomial comparison method and simple universal algebraic principles. As an application of these principles, a theorem of Nouaz\'e-Revoy type is also obtained.
Keywords
Cite
@article{arxiv.2407.20033,
title = {The symmetric Poincar\'e-Birkhoff-Witt theorem and Dynkin-Magnus commutators},
author = {Gyula Lakos},
journal= {arXiv preprint arXiv:2407.20033},
year = {2024}
}
Comments
14 pages, Part 1 of original submission arXiv:1812.04896v1, rewritten