Work

Fine structures inside the pre-Lie operad revisited

Year: 2025

Type: article

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.

Source: Journal of Combinatorial Algebra

DOI: 10.4171/jca/115

Author: Vladimir Dotsenko

Institution: Université de Strasbourg

Language: English

Topic: Homotopy and Cohomology in Algebraic Topology

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funders: Agence Nationale de la Recherche, Université de Strasbourg, Institut Universitaire de France

Award: Higher Algebra, Geometry, and Topology

OpenAlex ID: W4413586023

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