| 量子群U_q(f(K))的局部有限子代数的稳定理想 |
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| 引用本文： | 张新娟,李立斌. 量子群U_q(f(K))的局部有限子代数的稳定理想[J]. 数学研究, 2009, 42(1) |
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| 作者姓名： | 张新娟 李立斌 |
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| 作者单位： | 1. 连云港职业技术学院基础部,江苏,连云港,222006
2. 扬州大学数学科学学院,江苏,扬州,225002 |
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| 摘 要： | 利用量子群U=U_q(f(K))的表示理论及其局部有限子代数F(U)的子模结构,证明了U_q(f(K))的局部有限子代数F(U)的任一非零理想均可由若干个具有不同权的最高权向量的和生成.
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| 关 键 词： | 量子群 局部有限子代数 稳定理想 |
The Stable Ideal of the Locally Finite Subalgebra of Quantum Group Uq(f(K)) |
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| Zhang Xinjuan,Li Libin. The Stable Ideal of the Locally Finite Subalgebra of Quantum Group Uq(f(K))[J]. Journal of Mathematical Study, 2009, 42(1) |
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| Authors: | Zhang Xinjuan Li Libin |
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| Affiliation: | 1.Elementary Department; Lianyungang Teachnical College; Lianyungang Jiangsu 222006; 2.School of Mathematics; Yangzhou University; Yangzhou Jiangsu 225002); |
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| Abstract: | In this paper,by using the representation theory and structure of the locally finite subalgebra F(U) of the quantum group U = U_q(f(K)),we prove that every non-zero U-stable ideal of F(U) can both be generated by a sum of some highest weight vectors with distinct weights. |
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| Keywords: | quantum locally finite subalgebra U-stable ideal |
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