Twisted partial coactions of Hopf algebras

Abstract

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.

Key words： Hopf algebra; partial crossed coproduct; quasitriangular structure

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