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弱Hopf代数的扭曲理论
  • ISSN号：0255-7797
  • 期刊名称：《数学杂志》
  • 时间：0
  • 分类：O153.3[理学—数学;理学—基础数学]
  • 作者机构：[1]东南大学数学系,江苏南京210096, [2]浙江万里学院基础学院,浙江宁波315101
  • 相关基金：Supported by the Specialized Research Fund for the Doctoral Program of Higher Education （20060286006）, the FNS of China （10571026） and the Southeast University Fund （XJ0707273）
作者： 陈菊珍[1], 宋新霞[2]
关键词： 弱HOPF代数, 弱Hopf双模, 扭曲理论, weak Hopf algebra, weak Hopf bimodule, twisting theory
中文摘要：

本文研究了弱Hopf代数的扭曲理论的对偶问题.利用了弱Hopf代数上的弱Hopf双模的（辫子）张量范畴与扭曲弱Hopf代数上的弱Hopf双模的（辫子）张量范畴等价方法,得到Long模范畴是Yetter-Drinfel＇d模范畴的辫子张量子范畴.推广了Oeckl（2000）的结果.

英文摘要：

In this paper we study the dual case of the twisting theory of weak Hopf algebras.Using the equivalent between the（braided）monoidal categories of weak Hopf bimodules over the original and the twisted weak Hopf algebras,we get the Long module category is a braided tensor subcategory of a Yetter-Drinfel＇d module category,and then generalize the result of Oeckl（2000）.

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期刊信息
  • 《数学杂志》
  • 北大核心期刊（2011版）
  • 主管单位:中华人民共和国教育部
  • 主办单位:武汉大学 湖北省数学学会 武汉数学学会
  • 主编：陈化
  • 地址：湖北武汉大学
  • 邮编：430072
  • 邮箱：jmath@whu.edu.cn
  • 电话：027-68754687
  • 国际标准刊号：ISSN：0255-7797
  • 国内统一刊号：ISSN：42-1163/O1
  • 邮发代号:38-71
  • 获奖情况:
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国数学评论（网络版）,德国数学文摘,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:3910