相关扭曲Hopf模的基本同构定理与相关Yetter-Drinfel'd模  

The Fundamental Structure Theorem in Relative Twisting Hopf Modules and Relative Yetter-Drinfel'd Modules

作　　者：方小利[1] 李金其[2] 

机构地区：[1]浙江大学玉泉校区数学系,杭州310027 [2]浙江师范大学数理学院,金华321004

出　　处：《数学学报（中文版）》2007年第5期969-980,共12页Acta Mathematica Sinica：Chinese Series

基　　金：国家自然科学基金(10571152);宁波自然科学基金(2006A610089)

摘　　要：扭曲的方法在构造新的代数结构与余代数结构中起了重要的作用.本文首先把扭曲的方法运用到模与余模的构造中,得到扭曲模和扭曲余模;其次在更加一般的情形下给出相关扭曲Hopf模的基本同构定理;最后考虑在HopfYD模中如何使扭曲模构成相关Yetter-Drinfel'd模和相关Hopf模.In this paper, first we obtain new modules and comodules constructions by the twisting method which plays an important role in the costructions of algebras and coalgebras. Then, in a more general case, we give the fundamental structure theorem in relative twisting Hopf modules. Lastly, we consider how to turn the twisting modules into relative Yetter-Drinfel＇d modules and relative Hopf modules in HopfYD modules.

关 键 词：(余)配对双代数 扭曲模 相关扭曲Hopf模 相关Yetter-Drinfel'd模 

分 类 号：O153.3[理学—数学]