Fine structures inside the PreLie operad revisited
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.
- Publication:
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arXiv e-prints
- Pub Date:
- June 2023
- DOI:
- arXiv:
- arXiv:2306.08425
- Bibcode:
- 2023arXiv230608425D
- Keywords:
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- Mathematics - K-Theory and Homology;
- Mathematics - Category Theory
- E-Print:
- 8 pages