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- Série 6 : Tome 22 (2013)

- no. 2

- p. 421-444

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Nous considérons deux algèbres de Hopf graduées connexes en interaction, l’une étant un comodule-cogèbre sur l’autre. Nous montrons comment définir l’analogue du groupe de renormalisation et de la fonction Bêta de Connes-Kreimer lorsque la bidérivation de graduation est remplacée par une bidérivation provenant d’un caractère infinitésimal de la deuxième algèbre de Hopf.

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.

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Mohamed Belhaj Mohamed 1

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