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arXiv math/0104167math.AT
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霍普夫代数上形式群的对数

Logarithms of formal groups over Hopf algebras

A. V. Ershov

摘要:

本文的目的是证明以下结果。对于任何交换形式群${\frak F}(x\otimes 1,1\otimes x),$,如果它被认为是$H_\mathbb{Q},$上的形式群,则存在到形式为${\frak c}+x\otimes 1+1\otimes x,$的形式群的同态,其中$\frak c\in H_\mathbb{Q}{\mathop{\hat{\otimes}} \limits_{R_\mathbb{Q}}}H_\mathbb{Q}$使得$(\id \otimes ε){\frak c}=0= (ε\otimes \id){\frak c}.$

英文摘要:

The aim of this paper is to prove the following result. For any commutative formal group ${\frak F}(x\otimes 1,1\otimes x),$ which is considered as a formal group over $H_\mathbb{Q},$ there exists a homomorphism to a formal group of the form ${\frak c}+x\otimes 1+1\otimes x,$ where $\frak c\in H_\mathbb{Q}{\mathop{\hat{\otimes}} \limits_{R_\mathbb{Q}}}H_\mathbb{Q}$ such that $(\id \otimes ε){\frak c}=0= (ε\otimes \id){\frak c}.$

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。

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