Growth of structure constants of free Lie algebras relative to Hall bases

We derive a priori bounds on the size of the structure constants of the free Lie algebra over a set of indeterminates, relative to its Hall bases. We investigate their asymptotic growth, especially as a function of the length of the involved Lie brackets. First, using the classical recursive decompo...

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Veröffentlicht in:	Journal of algebra 2022-12, Vol.612, p.281-378
Hauptverfasser:	Beauchard, Karine, Le Borgne, Jérémy, Marbach, Frédéric
Format:	Artikel
Sprache:	eng
Schlagworte:	Combinatorics Mathematics Rings and Algebras
Online-Zugang:	Volltext
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