Hopf algebras, from basics to applications to renormalization
Dominique Manchon
math.QAarXiv: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.
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