一种推广的量子偶

A Generalized Quantum Double

先构造了一对相匹配的Hopf代数,其张量积空间上的Hopf代数结构推广了普通意义上余交换Hopf代数上的量子偶。然后,以群Hopf代数为特例,推广了普通意义上群上的量子偶。最后,讨论了这种Hopf代数的半单性。

In this paper,the author firstly constructs a pair of matched Hopf algebras.On their tensor product,there is a Hopf algebra structure,which generalizes the usual quantum double of cocommunicative Hopf algebra.Then,choosing the group Hopf algebra as special case,the Hopf algebra structure generalizes the usual quantum double of group.