弱Hopf代数上的扭余积

Twisted Coproduct over Weak Hopf Algebras

本文对交叉余积的特例—扭余积Cα(H)进行了讨论,得到了当H是弱Hopf代数,扭余积Cα(H)是弱双代数的充要条件,并进一步给出了弱双代数Cα(H)是弱Hopf代数的充分条件。

In this paper, the twisted coproducts to weak Hopf algebras is generated. We give a sufficient and necessary condition for twisted eoproduets Cα（H） to be bialgebras.Moreover, a sufficient condition for twisted eoproduct Cα（H） to be weak Hopfalgebras is given.