2000 character limit reached
Fine structures inside the PreLie operad revisited (2306.08425v3)
Published 14 Jun 2023 in math.KT and math.CT
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.