| A Class of Finite-Dimensional Representations of U_q（sl_2） |
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| 作者姓名： | Dong Ming CHENG Dong SU |
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| 作者单位： | Department of Mathematics and Applied Mathematics, He ＇nan University of Science and Technology, Luoyang 471023, P. R. China |
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| 基金项目： | Supported by Doctor Scientific Research Start Fund of He’nan University of Science and Technology; National Natural Science Foundation of China （Grant No. 11171296） |
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| 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.
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| 关 键 词： | 有限维表示 A类 不可分解 直和分解 商代数 昆士兰 量子群 EMR |
A class of finite-dimensional representations of U
q
(sl2) |
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| Dong Ming,CHENG Dong,SU.A class of finite-dimensional representations of U
q
(sl2)[J].Acta Mathematica Sinica,2013,29(9):1703-1712. |
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| Authors: | Dong Ming Cheng Dong Su |
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| Institution: | 1. Department of Mathematics and Applied Mathematics, He’nan University of Science and Technology, Luoyang, 471023, P. R. China
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| Abstract: | In order to study a class of finite-dimensional representations of U q (sl 2), we deal with the quotient algebra U q (m, n, b) of quantum group U q (sl 2) with relations K r = 1, E mr = b, F nr = 0 in this paper, where q is a root of unity. The algebra U q (m, n, b) is decomposed into a direct sum of indecomposable (left) ideals. The structures of indecomposable projective representations and their blocks are determined. |
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| Keywords: | Quantum group representation root of unity |
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