Hopf π-余代数上Doi-Hopf模的Maschke型定理(英文)  

A MASCHKE TYPE THEOREM FOR DOI-HOPF MODULES OVER HOPF π-COALGEBRAS

作　　者：陈菊珍[1] 石小平[1] 

机构地区：[1]南京林业大学理学院

出　　处：《南京大学学报（数学半年刊）》2010年第2期159-173,共15页Journal of Nanjing University(Mathematical Biquarterly)

基　　金：Supported by the Specialized Research Fund for the Doctoral Program of Higher Education (20060286006);the FNS of CHINA(10571026);the Southeast University Fund(XJ0707273)

摘　　要：带有Doi-Hopf π-数据(H,A,C)的Doi-Hopf模作为Hopf π-余模与Doi-Hopf模概念的推广由王栓宏引进.本文证明了Doi-Hopf π-模上的Maschke型定理.Maschke型定理成立的一个充分条件是:针对讨论的Doi-Hopf π-数据(H,A,C)存在规范π-积分.The concept of Doi-Hopf group modules was introduced by Shuanhong Wang,the more general concept of Hopf π-comodules and Doi-Hopf modules,associated to a threetuple（H,A,C） called the Doi-Hopf π-datum.In this paper we prove a Maschke type theorem for Doi-Hopf π-modules.A sufficient condition in order to have the Maschke type theorem is that there exists a normalizedπ-integral for the Doi-Hopf π-datum in the question.

关 键 词：规范π-积分 DOI-HOPF Π-模 MASCHKE型定理 

分 类 号：O153.3[理学—数学]