vix.ing · top · new · best · stats · spec

The renormalisation bialgebra and operads

2002/10/23 by Pepijn van der Laan, P. van der Laan, van der Laan, Pepijn +2
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Homotopy and Cohomology in Algebraic Topology #Nonlinear Waves and Solitons #Quantum Algebra (math.QA) #hep-th #math.QA

paper · pdf · doi:10.48550/arxiv.hep-th/0210226

2 pages

openalex publication_date 2002/10/23 · arxiv created 2003/04/03 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In a recent preprint, Brouder and Schmitt give a careful construction of a `renormalisation' Hopf algebra out of an arbitrary bialgebra. In this note, we point out that this is a special case of the construction of the cooperad of a bialgebra (Berger-Moerdijk) combined with the construction of a bialgebra from a cooperad (Frabetti-Van der Laan).

Related