Fine structures inside the pre-Lie operad revisited
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.
Authors
- Vladimir Dotsenko (ORCID: https://orcid.org/0000-0002-6949-5166)
Institutions
- Université de Strasbourg (FR)
Publication Details
- Journal
- Journal of Combinatorial Algebra
- Published
- 2025-08-25
- DOI
- https://doi.org/10.4171/jca/115
- Primary Topic
- Advanced Topics in Algebra
- Type
- article
- Field-Weighted Citation Impact
- 0.00