Feynman Diagrams in Algebraic Combinatorics
Abdesselam, Abdelmalek
HAL, hal-00087608 / Harvested from HAL
Text on HAL
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.
Publié le : 2002-07-05
Classification:  quantum field theory,  combinatorial species,  MSC: 05A15;81T18,  [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO],  [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph] 
@article{hal-00087608,
     author = {Abdesselam, Abdelmalek},
     title = {Feynman Diagrams in Algebraic Combinatorics},
     journal = {HAL},
     volume = {2002},
     number = {0},
     year = {2002},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00087608}
}

Abdesselam, Abdelmalek. Feynman Diagrams in Algebraic Combinatorics. HAL, Tome 2002 (2002) no. 0, . http://gdmltest.u-ga.fr/item/hal-00087608/