| Rudiment of weak Doi-Hopf π-modules |
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| 作者姓名： | 贾玲 李方 |
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| 作者单位： | Department of Mathematics, Zhejiang University, Hangzhou 310027, China |
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| 基金项目： | 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） |
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| 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.
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| 关 键 词： | 准Hopf上代数 弱Doi-Hopfπ模数 伴随矩阵 群代数 |
| 收稿时间： | 2005-03-21 |
| 修稿时间： | 2005-06-24 |
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