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Hopf algebras, from basics to applications to renormalization

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arxiv math/0408405 v2 pith:73WGXS5J submitted 2004-08-30 math.QA hep-thmath.CO

Hopf algebras, from basics to applications to renormalization

classification math.QA hep-thmath.CO
keywords algebrashopfrenormalizationapplicationsaspectsbasicsbirkhoffbogota
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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