Free brace algebras are free prelie algebras - Mathematics > Rings and AlgebrasReport as inadecuate




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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.



Author: Loïc Foissy LM-Reims

Source: https://arxiv.org/



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