Abstract
A formula in the free Lie algebra implies a simple proof of two classical characterizations of Lie elements.
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References
N. Bourbaki, Groupes et algèbres de Lie, Chapitre II. Algèbres de Lie Libres, Herman (Paris, 1972).
C. Reutenauer, Free Lie Algebras, Oxford Science Publications, Clarendon Press (Oxford, 1993).
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Patsourakos, A. Formulas in the Free Lie Algebras. Acta Mathematica Hungarica 89, 277–280 (2000). https://doi.org/10.1023/A:1006750118915
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DOI: https://doi.org/10.1023/A:1006750118915