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Some proofs of the Poincaré-Birkhoff-Witt theorem and related matters (1812.04896v2)
Published 12 Dec 2018 in math.RA
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.
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