The analysis demonstrates that the pre-Lie operad, as a Lie algebra, is generated by cyclic Lie elements in linear species, indicating significant algebraic relationships.
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.
No takes yet. Share an insight, caveat, or question.
Vladimir Dotsenko (2025) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: