A generalization of Connes-Kreimer Hopf algebra
Journal Article
·
· Journal of Mathematical Physics
- Mathematics, University of Pennsylvania, Philadelphia, Pennsylvania 19104 (United States)
'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 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.
- OSTI ID:
- 20699232
- Journal Information:
- Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 7 Vol. 46; ISSN JMAPAQ; ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
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