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arXiv · 2306.08425

Fine structures inside the PreLie operad revisited

Vladimir Dotsenko
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Abstract

We prove a conjecture of Chapoton from 2010 stating that the pre-Lie operad, as a Lie algebra in the symmetric monoidal category of linear species, is freely generated by the free operad on the species of cyclic Lie elements.

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Vladimir Dotsenko. 2023-06-14. Fine structures inside the PreLie operad revisited. https://arxiv.org/abs/2306.08425

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