Abdesselam, Abdelmalek Feynman diagrams in algebraic combinatorics. (English) Zbl 1034.81518 Sémin. Lothar. Comb. 49, B49c, 45 p. (2002). Summary: We show, in great detail, how the perturbative tools of quantum field theory allow one to rigorously obtain: a “categorified” Faà 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 easy access to the wonderland of quantum field theory. Cited in 14 Documents MSC: 81T18 Feynman diagrams Keywords:Faà di Bruno type formula; Lagrange-Good inversion PDFBibTeX XMLCite \textit{A. Abdesselam}, Sémin. Lothar. Comb. 49, B49c, 45 p. (2002; Zbl 1034.81518) Full Text: arXiv EuDML EMIS