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Fine structures inside the pre-Lie operad revisited

  • Vladimir Dotsenko

    Université de Strasbourg, France
    ORCID
Fine structures inside the pre-Lie operad revisited cover

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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.

Cite this article

Vladimir Dotsenko, Fine structures inside the pre-Lie operad revisited. J. Comb. Algebra (2025), published online first

DOI 10.4171/JCA/115