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Abstract: Let g be a free brace algebra.
This structure implies that g is also a preliealgebra and a Lie algebra.
It is already known that g is a free Lie algebra.
Weprove here that g is also a free prelie algebra, using a description of g withthe help of planar rooted trees, a permutative product, and anipulations on thePoincar\-e-Hilbert series of g.



Autor: Loïc Foissy LM-Reims

Fuente: https://arxiv.org/



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