The symmetric Poincaré-Birkhoff-Witt theorem and Dynkin-Magnus commutators

Published 29 Jul 2024 in math.RA | (2407.20033v1)

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.

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Authors (1)

Gyula Lakos

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