将Connes Moscovici Hopf代数推广到包含所有根树
Generalizing the Connes Moscovici Hopf algebra to contain all rooted trees
摘要：
本文定义了Connes-Moscovici Hopf代数的一个推广，$\mathcal{H}(1)$，它包含了根树的整个Hopf代数. Connes和Kreimer建立了非对易几何中研究较多的前者与微扰量子场论中研究较多的后者之间的关系。本文的结果为研究根树的Hopf代数的上同调打开了一扇大门。
英文摘要：
This paper defines a generalization of the Connes-Moscovici Hopf algebra, $\mathcal{H}(1)$ that contains the entire Hopf algebra of rooted trees. A relationship between the former, a much studied object in non-commutative geometry, and the later, a much studied object in perturbative Quantum Field Theory, has been established by Connes and Kreimer. The results of this paper open the door to study the cohomology of the Hopf algebra of rooted trees.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
