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

作     者：Dong Ming CHENG Dong SU 

作者机构：Department of Mathematics and Applied Mathematics He'nan University of Science and Technology 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2013年第29卷第9期

页      面：1703-1712页

核心收录：

学科分类：0401[教育学-教育学] 04[教育学] 0701[理学-数学] 

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) 

主　　题：Quantum group representation root of unity 

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.