Hopf algebras, from basics to applications to renormalization

Details Hopf algebras, from basics to applications to renormalization Hopf algebras, from basics to applications to renormalization

2004-08-30

arxiv.org/abs/math/0408405v2

Comptes Rendus des Rencontres Mathematiques de Glanon 2001 (published in 2003)

Mathematics

Quantum Algebra

Minor corrections, BCH approach precised in subsection II.6, references added. plain TeX, 6 eps figures, some xypic diagrams

Scientific paper

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.

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