Five interpretations of Fa\`a di Bruno's formula
Combinatorics
2014-02-25 v1 Mathematical Physics
Group Theory
math.MP
Quantum Algebra
Abstract
In these lectures we present five interpretations of the Fa' di Bruno formula which computes the n-th derivative of the composition of two functions of one variable: in terms of groups, Lie algebras and Hopf algebras, in combinatorics and within operads.
Keywords
Cite
@article{arxiv.1402.5551,
title = {Five interpretations of Fa\`a di Bruno's formula},
author = {Alessandra Frabetti and Dominique Manchon},
journal= {arXiv preprint arXiv:1402.5551},
year = {2014}
}
Comments
Dyson-Schwinger Equations and Fa\`a di Bruno Hopf Algebras in Physics and Combinatorics, Strasbourg : France (2011)