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arxiv: math-ph/9907010 · v1 · submitted 1999-07-14 · 🧮 math-ph · math.KT· math.MP· math.QA

On the Connes-Kreimer construction of Hopf Algebras

classification 🧮 math-ph math.KTmath.MPmath.QA
keywords hopfalgebrasconnes-kreimerconstructionalgebracasefamiliesgive
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We give a universal construction of families of Hopf $P$-algebras for any Hopf operad $P$. As a special case, we recover the Connes-Kreimer Hopf algebra of rooted trees.

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