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Fine structures inside the PreLie operad revisited

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arxiv 2306.08425 v3 pith:VL4CMU3C submitted 2023-06-14 math.KT math.CT

classification math.KTmath.CT
keywords operadspeciesalgebracategorychapotonconjecturecyclicelements
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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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Cited by 1 Pith paper

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  1. Backward error analysis for matrix discretizations of 2-D Euler equations

    math.NA 2026-07 accept novelty 8.0 of 10

    ISOSYRK methods on Zeitlin’s Euler–Zeitlin system admit n-independent exponentially small modified-Hamiltonian errors for times exp(c/ε) when h = ε ℏ_n.

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