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math.RA2024
The Dynkin-Specht-Wever lemma and some associated constructions
Gyula Lakos
In the first part of the paper, some extensions of the classical Dynkin-Specht-Wever lemma are developed. In the second part, we extend Burgunder's splitting construction, and rela…
math.RA2024
The symmetric Poincaré-Birkhoff-Witt theorem and Dynkin-Magnus commutators
Gyula Lakos
The objective of this paper is to give alternative proofs for the symmetric Poincaré-Birkhoff-Witt theorem utilizing the Magnus recursion formulae or Dynkin's non-commutative polyn…