English

Groupes de renormalisation pour deux alg\`ebres de Hopf en produit semi-direct

Mathematical Physics 2012-07-09 v1 math.MP

Abstract

We consider two interacting connected graded Hopf algebras, the former being a comodule-coalgebra on the latter. We show how to define analogues of Connes-Kreimer's renormalization group and Beta function, when the graduation operator is replaced by any biderivation coming from an infinitesimal character of the second Hopf algebra.

Keywords

Cite

@article{arxiv.1207.1482,
  title  = {Groupes de renormalisation pour deux alg\`ebres de Hopf en produit semi-direct},
  author = {Mohamed Belhaj Mohamed},
  journal= {arXiv preprint arXiv:1207.1482},
  year   = {2012}
}

Comments

20 pages, article in French