Faà di Bruno Hopf algebras
Héctor Figueroa, José M. Gracia-Bondía, Joseph C. Várilly
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.
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