关于全（Co）积分的表示论
On Representation Theory of Total (Co)Integrals
摘要：
本文证明了全积分和余积分是稳定反Yetter-Drinfeld模的新来源。我们明确地表明，如何特殊类型的总（共）积分可以用来提供（稳定）反Yetter-Drinfeld和Yetter-Drinfeld模块。我们使用这些模块来分类的Connes-Moscovici霍普夫代数，泛包络代数和多项式代数的一些例子的全（共）积分和（裂）Hopf伽罗瓦（共）扩展。
英文摘要：
In this paper, we show that total integrals and cointegrals are new sources of stable anti Yetter-Drinfeld modules. We explicitly show that how special types of total (co)integrals can be used to provide both (stable) anti Yetter-Drinfeld and Yetter- Drinfeld modules. We use these modules to classify total (co)integrals and (cleft) Hopf Galois (co)extensions for some examples of the Connes-Moscovici Hopf algebra, universal enveloping algebras and polynomial algebras.
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