Some proofs of the Poincaré-Birkhoff-Witt theorem and related matters
Abstract
This expository paper focuses on free Lie $K$-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.
- Publication:
-
arXiv e-prints
- Pub Date:
- December 2018
- DOI:
- 10.48550/arXiv.1812.04896
- arXiv:
- arXiv:1812.04896
- Bibcode:
- 2018arXiv181204896L
- Keywords:
-
- Mathematics - Rings and Algebras;
- Primary: 17B35. Secondary: 17B01;
- 16S30
- E-Print:
- 22 pages, Part 3 of original submission arXiv:1812.04896v1, rewritten