Hopf algebras, from basics to applications to renormalization
arXiv:math/0408405
Abstract
An extended version of a series of lectures given at Bogota in december 2002. It consists in a presentation of some aspects of Connes' and Kreimer's work on renormalization in the context of general connected Hopf algebras, in particular Birkhoff decomposition and, in the graded case, the scattering-type formula.
Minor corrections, BCH approach precised in subsection II.6, references added. plain TeX, 6 eps figures, some xypic diagrams