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| 相关Yetter-Drinfel’d模和扭曲Hopf模及其基本结构定理 | |
| 引用本文： | 张良云,祝家贵,佟文廷.相关Yetter-Drinfel’d模和扭曲Hopf模及其基本结构定理[J].数学学报,2003,46(6):1143-115. |
| 作者姓名： | 张良云 祝家贵 佟文廷 |
| 作者单位： | 1. 南京农业大学数学系,南京,210095 2. 皖西学院数学系,六安,237012 3. 南京大学数学系,南京,210008 |
| 基金项目： | 国家自然科学基金(19771046)，安徽省重点科研基金(02021029)，南京农业大学优秀博士基金资助项目(804050) |
| 摘 要： | 本文引入了扭曲余模概念,给出了由扭曲余模构造的扭曲Hopf模的判别条件及其基本结构定理,引入了相关Yetter-Drinfel’d模概念(它是Yetter-Drinfel’d模概念的自然推广),证明了相关Yetter-Drinfel’d模范畴是预辫monoidal范畴,指出了由Yetter-Drinfel’d模通过扭曲余模构作的模恰是相关Yetter-Drinfel’d模. |
| 关 键 词： | 扭曲余模 扭曲Hopf模 相关Yetter-Drinfel'd模 |
| 文章编号： | 0583-1431(2003)06-1143-10 |
| 修稿时间： | 2001年12月13 |
Relative Yetter-Drinfel'd Modules and Twisted Hopf Modules as well as Their Flmdamental Structure Theorems |
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| Liang Yun ZHANG.Relative Yetter-Drinfel''d Modules and Twisted Hopf Modules as well as Their Flmdamental Structure Theorems[J].Acta Mathematica Sinica,2003,46(6):1143-115. | |
| Authors: | Liang Yun ZHANG |
| Institution: | Liang Yun ZHANG (Department of Mathematics, Nanjmg Agricultural University, Nanjing 210095, P. R. China) (E-mail: zlyun8@jlonline.com) Jia Gui ZHU (Department of Mathematics, West Anhui University, Luan 237012, P. R. China) Wen Ting TONG (Department of Mathematics, Nanjing University, Nanjing 210093, P. R. China) |
| Abstract: | In this paper, we introduce the concept of twisted comodules, which is a generalization of twisted coproducts, and then give some distinguished conditions of twisted Hopf modules and its fundamental structure theorems. Finally, we introduce the concept of relative Yetter-Drinfel'd modules, and prove that the category of relative Yetter-Drinfel'd modules is a prebraided monoidal category, and twisted comodules of Yetter-Drinfel'd modules are exactly relative Yetter-Drinfel'd modules by twisted viewpoint. |
| Keywords: | Twisted comodules Twisted Hopf modules Relative Yetter-Drinfel'd modules |
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