Faà di Bruno Hopf algebras
arXiv:math/0508337
Abstract
This is a short review on the Faà di Bruno formulas, and some Hopf algebras associated to them. These allow, among several other things, a short proof of the Lie-Scheffers theorem, and relating the Lagrange inversion formulas with antipodes. The link of Faà di Bruno formulas with the theory of set partitions is developed in some detail.
Latex, 9 pages. Originally commissioned as an encyclopedia article. v2: Updated with 9 new references. v3: Abstract added, misprints corrected. To appear in Revista Colombiana de Matemática