A Generalization of Connes-Kreimer Hopf Algebra

Details A Generalization of Connes-Kreimer Hopf Algebra A Generalization of Connes-Kreimer Hopf Algebra

2005-05-24

arxiv.org/abs/math-ph/0505064v1

Physics

Mathematical Physics

Scientific paper

10.1063/1.1951591

``Bonsai'' Hopf algebras, introduced here, are generalizations of Connes-Kreimer Hopf algebras, which are motivated by Feynman diagrams and renormalization. We show that we can find operad structure on the set of bonsais. We introduce a new differential on these bonsai Hopf algebras, which is inspired by the tree differential. The cohomologies of these are computed here, and the relationship of this differential with the appending operation $*$ of Connes-Kreimer Hopf algebras is investigated.

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