paper

Groupes de renormalisation pour deux algèbres de Hopf en produit semi-direct

arXiv:1207.1482

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.

20 pages, article in French