Rudiment of weak Doi-Hopf π-modules  

作　　者：贾玲 李方 

机构地区：[1]Department of Mathematics, Zhejiang University

出　　处：《Journal of Zhejiang University-Science A(Applied Physics & Engineering)》2005年第B08期144-154,共11页浙江大学学报（英文版）A辑（应用物理与工程）

基　　金：Project supported by the Program for New Century Excellent Talents in University (No. 04-0522), the National Science Foundation of Zhejiang Province of China (No. 102028), and the Cultivation Fund of the Key Scientific and Technical Innovation Project, Ministry of Education of China (No. 704004)

摘　　要：The notion of weak Doi-Hopfπ-datum and weak Doi-Hopfπ-module are given as generalizations of an ordinary weak Doi-Hopf datum and weak Doi-Hopf module introduced in （Boehm, 2000）, also as a generalization of a Doi-Hopfπ-module introduced in （Wang, 2004）. Then we also show that the functor forgetting action or coaction has an adjoint. Furthermore we explain how the notion of weak Doi-Hopfπ-datum is related to weak smash product. This paper presents our preliminary results on weak Doi-Hopf group modules.The notion of weak Doi-Hopf π-datum and weak Doi-Hopf π-module are given as generalizations of an ordinary weak Doi-Hopf datum and weak Doi-Hopf module introduced in (B?hm, 2000), also as a generalization of a Doi-Hopf π-module in- troduced in (Wang, 2004). Then we also show that the functor forgetting action or coaction has an adjoint. Furthermore we explain how the notion of weak Doi-Hopf π-datum is related to weak smash product. This paper presents our preliminary results on weak Doi-Hopf group modules.

关 键 词：Weak semi-Hopf π-coalgebra Weak Doi-Hopf π-modules 

分 类 号：O153.5[理学—数学]