为了构造出更多的弱量子代数类。利用弱化双参数量子群Ur,s^d(sln)的类群元集的方法,给出双参数弱Hopf代数ωr,s^d(sln)的构造,它是单参数弱Hopf代数ωq^d(sln)的推广.
The purpose of this paper is to construct a new class of weak quantum algebras. Two-parameter weak Hopf algebra ωr,s^d(sln) is obtained by weakening the set of group-like elements of two-parameter quantum group Ur,s(sln). We suggest that this class of weak Hopf algebras is just a generalization of weak Hopf algebra ωr,s^d(sln).