偶交叉双积Hopf代数B_T_RH的构造

The Structure of Double Crossed Bi-Product Hopf Algebra B_T ■_R H

本文给出了DoiY．构造的偶交叉积BT■H的代数结构与ReshetikhimN．构造的双代数B■RH的余代数结构在张量空间B■H上构成双代数（记为Bτ■RH）的充要条件，利用此结论具体构造了一个有趣的例子B4■KZ2；证明了当B，H均为Hopf．代数时Bτ■RH也为Hopf代数，最后给出这类双代数的映射刻划。

The double crossed-product Bτ■bH by Doi Y. constructed and bialgebra B■bH by Reshetikhim N. constructed are well known in [1, 3], in this paper we find necessary and sufficient conditions for the Bτ■H algebra structure and B■RH coalgebra structure on B■H to afford B■H a bialgebra structure (Let Bτ■H denote the resulting bialgebra). By use this result, we construct an intersting example B4τ■R KZ2. In the final we give characterization of Bτ■R H by introducing the mapping system.