Twisted partial coactions of Hopf algebras

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• 作者：Quanguo Chen ; Dingguo Wang ; Xiaodan Kang
• 关键词：Hopf algebra ; partial crossed coproduct ; quasitriangular structure
• 刊名：Frontiers of Mathematics in China
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：12
• 期：1
• 页码：63-86
• 全文大小：229 KB
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Mathematics
  Chinese Library of Science
  
• 出版者：Higher Education Press, co-published with Springer-Verlag GmbH
• ISSN：1673-3576
• 卷排序：12

文摘

In this paper, the notion of a twisted partial Hopf coaction is introduced. The conditions on partial cocycles are established in order to construct partial crossed coproducts. Then the classification of partial crossed coproducts is discussed. Finally, some necessary and sufficient conditions for a class of partial crossed coproducts to be quasitriangular bialgebras are given.