U_(r,s)(sl_2)关于主不可分解模的直和分解

Direct sum decomposition of U_(r,s)(sl_2) about principal indecomposable modules

描述了限制型双参数量子群U_(r,s)(sl_2)的一类不可约模,构造出U_(r,s)(sl_2)所有的主不可分解模.把Casimir元素的左乘作用看作U_(r,s)(sl_2)到自身的线性变换,得到了Casmir元素作用在U_(r,s)(sl_2)上的极小多项式和U_(r,s)(sl_2)本原幂等元的全部共轭类.

This paper described a class of irreducible modules of the restricted two- parameter quantum group Ur,s（sl2）, and constructed all its principal indecomposable modules. Finally, the minimal polynomial of the action of the Casimir element on Ur,s（sl2） and all the conjugate classes of the primitive idempotents of Ur,s（sl2） were obtained.