【摘要】 用U表示量子群Uq(f(K)),Ft(U)表示由广义伴随作用下局部有限的所有元素组成的U的子模.利用U的表示理论的基本结论,给出当q不是单位根时,Ft(U)的子模结构.由此得到Ft(U)的单模分解式.更多还原

【Abstract】 Let U be quantum group Uq(f(K)),Ft(U) is the submodule of U consisting of the elements on which the generalized adjoint action is locally finite.Using the representation theory of U,we describe the structure of submodule of Ft(U) in the case when q is not a root of unity.It turns out that the decomposition of simple modules of Ft(U) can be obtained.更多还原