A Generalization of Connes-Kreimer Hopf Algebra
Mathematical Physics
2009-11-11 v1 math.MP
Quantum Algebra
Abstract
``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.
Cite
@article{arxiv.math-ph/0505064,
title = {A Generalization of Connes-Kreimer Hopf Algebra},
author = {Jungyoon Byun},
journal= {arXiv preprint arXiv:math-ph/0505064},
year = {2009}
}