A Class of Finite-Dimensional Representations of U_q(sl_2)  

作　　者：Dong Ming CHENG Dong SU 

机构地区：[1]Department of Mathematics and Applied Mathematics, He'nan University of Science and Technology

出　　处：《Acta Mathematica Sinica,English Series》2013年第9期1703-1712,共10页数学学报（英文版）

基　　金：Supported by Doctor Scientific Research Start Fund of He’nan University of Science and Technology;National Natural Science Foundation of China (Grant No. 11171296)

摘　　要：In order to study a class of finite-dimensional representations of Uq（sl2）, we deal with the quotient algebra Uq （m, n, b） of quantum group Uq（sl2） with relations Kr=1, Emr=b, Fnr=0 in this paper, where q is a root of unity. The algebra Uq（m, n, b） is decomposed into a direct sum of indecomposable （left） ideals. The structures of indecomposable projective representations and their blocks are determined.In order to study a class of finite-dimensional representations of Uq（sl2）, we deal with the quotient algebra Uq （m, n, b） of quantum group Uq（sl2） with relations Kr=1, Emr=b, Fnr=0 in this paper, where q is a root of unity. The algebra Uq（m, n, b） is decomposed into a direct sum of indecomposable （left） ideals. The structures of indecomposable projective representations and their blocks are determined.

关 键 词：Quantum group REPRESENTATION root of unity 

分 类 号：G623.5[文化科学—教育学]