弱Hopf群余代数的可裂扩张

Cleft extensions of weak Hopf group coalgebras

弱群交叉积是弱群smash积概念的推广,弱Hopf群余代数的作用是余循环的扭曲。引入了弱Hopf群余代数的可裂扩张的概念,并建立了弱Hopf群余代数上交叉积和可裂扩张之间的关系。

Weak group crossed products are generalization of the weak group smash products,in which the action of the weak Hopf group coalgebras is twisted by a cocycle. The notion of cleft extensions of weak Hopf group coalgebras is introduced,and the relation between crossed products and cleft extensions of weak Hopf group coalgebras is established.