| On the Indecomposable Modules of Uq（sl（2）） Constructed via Ore-extension |
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| 引用本文： | Zhi Hua WANG,Li Bin LI. On the Indecomposable Modules of Uq（sl（2）） Constructed via Ore-extension[J]. 数学学报(英文版), 2013, 29(7): 1391-1400. DOI: 10.1007/s10114-013-1426-7 |
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| 作者姓名： | Zhi Hua WANG Li Bin LI |
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| 作者单位： | [1]School of Mathematics, Yangzhou University, Yangzhou 225002, P. R. China [2]Department of Mathematics, Taizhou College, Nanjing Normal University, Taizhou 225300, P. R. China |
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| 基金项目： | Supported by National Natural-Foundation of China （Grant No. 11171291） and Doctorate Foundation （Grant No. 200811170001） Ministry of Education of China |
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| 摘 要： | Let A be a subalgebra of Uq (sl(2)) generated by K, K-1 and F and Aδ be a subalgebra of Uq (sl(2)) generated by K, K-1 (and also Fd if q is a primitive d-th root of unity with d an odd number). Given an Aδ -module M, a Uq (sl(2))-module AAδ M is constructed via the iterated Ore extension of Uq (sl(2)) in a unified framework for any q. Then all the submodules of AAδ M are determined for a fixed finite-dimensional indecomposable Aδ -module M . It turns out that for some indecomposable Aδ -module M , the Uq (sl(2))-module AAδ M is indecomposable, which is not in the BGG-categories Oq associated with quantum groups in general.
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| 关 键 词： | 不可分解 子模块 矿石 子代数 AAM 昆士兰 有限维 量子群 |
On the indecomposable modules of U q (sl(2)) constructed via ore-extension |
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| Zhi Hua Wang,Li Bin Li. On the indecomposable modules of U q (sl(2)) constructed via ore-extension[J]. Acta Mathematica Sinica(English Series), 2013, 29(7): 1391-1400. DOI: 10.1007/s10114-013-1426-7 |
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| Authors: | Zhi Hua Wang Li Bin Li |
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| Affiliation: | 1. School of Mathematics, Yangzhou University, Yangzhou, 225002, P. R. China
2. Department of Mathematics, Taizhou College, Nanjing Normal University, Taizhou, 225300, P. R. China
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| Abstract: | Ore-extension, indecomposable module, quantum group |
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| Keywords: | Ore-extension indecomposable module quantum group |
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