Abstract
We study certains aspects of a particular Hall set constructed with respect to the alpabetical order. In our main result we show how this Hall set leads to the construction of a family of generators of the kernel of “from right to left Lie bracketing” mapping. This construction is based on certain remarkable properties of these generators.
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Patsourakos, A. On some properties of Hall elements in the free nonassociative algebra. Acta Math Hung 118, 199–207 (2008). https://doi.org/10.1007/s10474-007-6094-6
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DOI: https://doi.org/10.1007/s10474-007-6094-6