2010/10/15 by Frédéric Chapoton, Chapoton, Frédéric · 1 citation
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA) #math.QA
paper · pdf · doi:10.48550/arxiv.1010.3176
16 pages
arxiv created 2010/10/15 · openalex publication_date 2010/10/15 · arxiv updated 2010/10/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This article aims at a detailed analysis of the PreLie operad. We obtain a more concrete description of the relationship between the anticyclic structure of PreLie and the generators of PreLie as a Lie-module, which was known before only at the level of characters. Building on this, we obtain an inclusion of the cyclic Lie module in the PreLie operad. We conjecture that the image of this inclusion generates an interesting free sub-operad.