Zobrazeno 1 - 10
of 41
pro vyhledávání: '"Frabetti, Alessandra"'
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 with vector bundles over the unordered configuration space of a manifold
Externí odkaz:
http://arxiv.org/abs/2407.15287
Autor:
Frabetti, Alessandra, Shestakov, Ivan
Publikováno v:
Advances in Mathematics, Elsevier, In press
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 main result is the proof that the natural loop of formal diffeomorphi
Externí odkaz:
http://arxiv.org/abs/1807.10477
Richard Borcherds proposed an elegant geometric version of renormalized perturbative quantum field theory in curved spacetimes, where Lagrangians are sections of a Hopf algebra bundle over a smooth manifold. However, this framework looses its geometr
Externí odkaz:
http://arxiv.org/abs/1502.00147
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 groups, Lie algebras and Hopf algebras, in combinatorics and within oper
Externí odkaz:
http://arxiv.org/abs/1402.5551
Publikováno v:
In Advances in Mathematics 31 July 2019 351:495-569
Publikováno v:
Journal of Algebraic Combinatorics (2010) online
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-commutative version of the Fa\`a di Bruno Hopf algebra, the non-commutative ver
Externí odkaz:
http://arxiv.org/abs/0909.3362
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 framework of groups of tree-expanded series. First we recall Brouder's e
Externí odkaz:
http://arxiv.org/abs/0811.4712
Autor:
Frabetti, Alessandra
These are the notes of five lectures given at the Summer School {\em Geometric and Topological Methods for Quantum Field Theory}, held in Villa de Leyva (Colombia), July 2--20, 2007. The lectures are meant for graduate or almost graduate students in
Externí odkaz:
http://arxiv.org/abs/0805.4385
Autor:
Frabetti, Alessandra
We describe the proalgebraic groups represented by three Hopf algebras on planar binary trees previously introduced by the author and Christian Brouder in relation with the renormalization of quantum electrodynamics. Using two monoidal structures and
Externí odkaz:
http://arxiv.org/abs/math/0703263
Publikováno v:
Adv. in Math. 200 (2006), 479-524.
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 series with the multiplication, while the second group is the set of form
Externí odkaz:
http://arxiv.org/abs/math/0406117