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math.QA2004
Non-commutative Hopf algebra of formal diffeomorphisms
Christian Brouder, Alessandra Frabetti, Christian Krattenthaler
The subject of this paper are two Hopf algebras which are the non-commutative analogues of two different groups of formal power series. The first group is the set of invertible ser…
math.QA2001
QED Hopf algebras on planar binary trees
Christian Brouder, Alessandra Frabetti
In this paper we describe the Hopf algebras on planar binary trees used to renormalize the Feynman propagators of quantum electrodynamics, and the coaction which describes the reno…