42 citations · 72 across the 11 of their papers we have counts for
13 papers
Poisson bundles over unordered configurations
Alessandra Frabetti, Olga Kravchenko, Leonid Ryvkin
In this paper we construct a Poisson algebra bundle whose distributional sections are suitable to represent multilocal observables in classical field theory. To do this, we work wi…
Loop of formal diffeomorphisms and F{à}a di Bruno coloop bialgebra
Alessandra Frabetti, Ivan Shestakov
We consider a generalization of (pro)algebraic loops defined on general categories of algebras and the dual notion of a coloop bialgebra suitable to represent them as functors. Our…
Noncommutative version of Borcherds' approach to quantum field theory
Christian Brouder, Nguyen Viet Dang, Alessandra Frabetti
Richard Borcherds proposed an elegant geometric version of renormalized perturbative quantum field theory in curved spacetimes, where Lagrangians are sections of a Hopf algebra bun…
Five interpretations of Faà di Bruno's formula
Alessandra Frabetti, Dominique Manchon
In these lectures we present five interpretations of the Fa' di Bruno formula which computes the n-th derivative of the composition of two functions of one variable: in terms of gr…
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…