Frontiers of Mathematics in China >
Twisted partial coactions of Hopf algebras
Received date: 09 Sep 2015
Accepted date: 22 Mar 2016
Published date: 01 Feb 2017
Copyright
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.
Quanguo CHEN , Dingguo WANG , Xiaodan KANG . Twisted partial coactions of Hopf algebras[J]. Frontiers of Mathematics in China, 2017 , 12(1) : 63 -86 . DOI: 10.1007/s11464-016-0597-9
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