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Fine structures inside the PreLie operad revisited

Published 14 Jun 2023 in math.KT and math.CT | (2306.08425v3)

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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