Factorization Of Simple Modules For Restricted Two-parameter Quantum Groups Of Types C And F₄

We study the representations of the restricted two-parameters quantum groups of type C and F₄.We consider,the conditions that a simple uθy,θz（sp2n）-module and uθy,θz（F₄）－simple can be factored.For restricted two-parameter quantum groups,let θ be a primitive l-th root of unity,simple uθy,θz（sp2n）-module can be factorized if and only if（4（y-z）,l）=1.And simple uθy,θz（F₄）-module can be factorized if and only if（4（y-z）,l）＝1.