Twisted partial coactions of Hopf algebras  

作　　者：Quanguo CHEN Dingguo WANG Xiaodan KANG 

机构地区：[1]School of Mathematical Sciences, Qufu Normal University, Qufu 273165, China

出　　处：《Frontiers of Mathematics in China》2017年第1期63-86,共24页中国高等学校学术文摘·数学（英文）

基　　金：Acknowledgements This Foundation of China （Grant work was supported by Nos. 11471186, 11261063）, the National Natural Science the Natural Science Foundation of Shandong Province （Nos. ZR2014AQ027 and ZR2014AQ024）, and the Fund of the Key Disciplines in the General Colleges and Universities of Xin Jiang Uygur Autonomous Region （No. 2012ZDXK03）.

摘　　要：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.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.

关 键 词：Hopf algebra partial crossed coproduct quasitriangular structure 

分 类 号：O153.3[理学—数学] O437[理学—基础数学]