Some proofs of the Poincar\'e-Birkhoff-Witt theorem and related matters
Rings and Algebras
2024-07-24 v2
Abstract
This expository paper focuses on free Lie -algebras and the basic PBW theorem. We argue in various ways that the basic PBW theorem is a quite close consequence of the Magnus-Witt theorems concerning free Lie algebras.
Cite
@article{arxiv.1812.04896,
title = {Some proofs of the Poincar\'e-Birkhoff-Witt theorem and related matters},
author = {Gyula Lakos},
journal= {arXiv preprint arXiv:1812.04896},
year = {2024}
}
Comments
22 pages, Part 3 of original submission arXiv:1812.04896v1, rewritten