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Fine structures inside the PreLie operad revisited

Authors :
Dotsenko, Vladimir
Publication Year :
2023

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.<br />Comment: 8 pages

Subjects

Subjects :
Mathematics - K-Theory and Homology
Mathematics - Category Theory

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2306.08425
Document Type :
Working Paper

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