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.

arXiv comment22 pages, Part 3 of original submission arXiv:1812.04896v1, rewritten

References in corpus (1)

• Convergence estimates for the Magnus expansion III. Banach--Lie algebras