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Pré-Publication, Document De Travail Année : 2002

Feynman Diagrams in Algebraic Combinatorics

Résumé

We show, in great detail, how the perturbative tools of quantum field theory allow one to rigorously obtain: a ``categorified'' Faa di Bruno type formula for multiple composition, an explicit formula for reversion and a proof of Lagrange-Good inversion, all in the setting of multivariable power series. We took great pains to offer a self-contained presentation that, we hope, will provide any mathematician who wishes, an easy access to the wonderland of quantum field theory.

Dates et versions

hal-00087608 , version 1 (25-07-2006)

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Abdelmalek Abdesselam. Feynman Diagrams in Algebraic Combinatorics. 2002. ⟨hal-00087608⟩
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