42 citations · 72 across the 11 of their papers we have counts for
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Combinatorial Hopf algebras from renormalization
Christian Brouder, Alessandra Frabetti, Frederic Menous
In this paper we describe the right-sided combinatorial Hopf structure of three Hopf algebras appearing in the context of renormalization in quantum field theory: the non-commutati…
From quantum electrodynamics to posets of planar binary trees
Frédéric Chapoton, Alessandra Frabetti
This paper is a brief mathematical excursion which starts from quantum electrodynamics and leads to the Moebius function of the Tamari lattice of planar binary trees, within the fr…
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…
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…