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弱Hopf代数上的扭积
  • 期刊名称：数学年刊
  • 时间：0
  • 作者或编辑：3448
  • 语言：中文
  • 分类：O153[理学—数学;理学—基础数学]
  • 作者机构：[1]河北师范大学数学与信息科学学院,石家庄050016, [2]首都师范大学数学系,北京100037
  • 相关基金：国家自然科学基金（No.10271081）,北京市自然科学基金（No.1042004）和河北省自然科学基金（No.102132）资助的项目.
  • 相关项目：群和代数的结构与表示
作者： 侯波|王志玺|
关键词： 弱HOPF代数, 交叉积, 扭积, Weak Hopf algebra, Crossed product, Twisted product
中文摘要：

在弱Hopf代数上，定义了交叉积概念。并且得到了它的两种特殊形式，冲积和扭积．特别地，给出了扭积为弱Hopf代数的一个充要条件，推广了Hopf代数的相应结论．

英文摘要：

In this paper, the notion of crossed products over weak Hopf algebras is defined and the smash products and the twisted products are their special cases. Moreover, a sufficient and necessary condition for a twisted product to be a weak Hopf algebra is given. It generalizes the corresponding results for Hopf algebras.

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群和代数的结构与表示
期刊论文 44
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