| 由Harrison2-余循环诱导的扭曲模余代数及其应用 |
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| 引用本文： | 陈婷婷,王勇,张良云.由Harrison2-余循环诱导的扭曲模余代数及其应用[J].南京大学学报(自然科学版),2013(1):115-124. |
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| 作者姓名： | 陈婷婷 王勇 张良云 |
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| 作者单位： | 南京农业大学理学院;南京晓庄学院数学与信息技术学院 |
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| 基金项目： | 教育部科学技术重点资助项目(108154);高等学校博士学科点专项科研基金(20100097110040)资助项目(20100097110040) |
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| 摘 要： | 本文主要通过Harrison2-余循环引入扭曲模余代数概念，给出了扭曲Hopf模的基本结构定理，并得到了扭曲模余代数的一些性质及其在广义量子偶上的应用．
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| 关 键 词： | Harrison 2-余循环 扭曲模余代数 扭曲Hopf模 斜余配对 广义量子偶 |
TWISTED MODULE COALGEBRAS INTRODUCED BY HARRISON 2-COCYCLES AND THEIR APPLICATIONS |
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| Chen Tingting College of Science,Nanjing Agricultural University,Nanjing PRC Wang Yong College of Mathematies and Information Technology,Nanjing Xiaozhuang University,Nanjing PRC Zhang Liangyun.TWISTED MODULE COALGEBRAS INTRODUCED BY HARRISON 2-COCYCLES AND THEIR APPLICATIONS[J].Journal of Nanjing University: Nat Sci Ed,2013(1):115-124. |
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| Authors: | Chen Tingting College of Science Nanjing Agricultural University Nanjing PRC Wang Yong College of Mathematies and Information Technology Nanjing Xiaozhuang University Nanjing PRC Zhang Liangyun |
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| Institution: | Chen Tingting (College of Science,Nanjing Agricultural University,210095,Nanjing PRC) Wang Yong (College of Mathematies and Information Technology,Nanjing Xiaozhuang University, 211171,Nanjing PRC) Zhang Liangyun (College of Science,Nanjing Agricultural University,210095,Nanjing PRC) |
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| Abstract: | This paper mainly introduces the concept of twisted module coalgebras via Harrison 2- cocycles, presents the fundamental structure theorem for twisted Hopf modules, and obtains some prop- erties about twisted module coalgebras and applications to generalized quantum doubles. |
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| Keywords: | Harrison 2-cocycle twisted module coalgebra twisted Hopf module skew copairing gen-eralized quantum double |
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