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The renormalisation bialgebra and operads

High Energy Physics - Theory 2007-05-23 v2 Quantum Algebra

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).

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Cite

@article{arxiv.hep-th/0210226,
  title  = {The renormalisation bialgebra and operads},
  author = {Pepijn van der Laan and Ieke Moerdijk},
  journal= {arXiv preprint arXiv:hep-th/0210226},
  year   = {2007}
}

Comments

2 pages