Hopf algebras, from basics to applications to renormalization
Quantum Algebra
2007-05-23 v2 High Energy Physics - Theory
Combinatorics
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.
Keywords
Cite
@article{arxiv.math/0408405,
title = {Hopf algebras, from basics to applications to renormalization},
author = {Dominique Manchon},
journal= {arXiv preprint arXiv:math/0408405},
year = {2007}
}
Comments
Minor corrections, BCH approach precised in subsection II.6, references added. plain TeX, 6 eps figures, some xypic diagrams