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math.RA2008
Free brace algebras are free prelie algebras
Loïc Foissy
Let g be a free brace algebra. This structure implies that g is also a prelie algebra and a Lie algebra. It is already known that g is a free Lie algebra. We prove here that g is a…
math.RA2008★ 2 cited
The infinitesimal Hopf algebra and the poset of planar forests
Loïc Foissy
We introduce an infinitesimal Hopf algebra of planar trees, generalising the construction of the non-commutative Connes-Kreimer Hopf algebra. A non-degenerate pairing and a dual ba…