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arxiv: math-ph/0104017 · v1 · submitted 2001-04-12 · 🧮 math-ph · math.MP

Connes-Moscovici-Kreimer Hopf Algebras

classification 🧮 math-ph math.MP
keywords algebrashopfconnes-moscovicibecomebranchcommoncomprehensionconnes-kreimer
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These notes hopefully provide an aid to the comprehension of the Connes-Moscovici and Connes-Kreimer works, by isolating common mathematical features of the Connes-Moscovici, rooted trees, and Feynman-graph Hopf algebras (as a new special branch of the theory of Hopf algebras expected to become important). We discuss in particular the dual Milnor-Moore situation.

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