Fine structures inside the PreLie operad revisited
K-Theory and Homology
2024-05-07 v3 Category Theory
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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@article{arxiv.2306.08425,
title = {Fine structures inside the PreLie operad revisited},
author = {Vladimir Dotsenko},
journal= {arXiv preprint arXiv:2306.08425},
year = {2024}
}
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8 pages