| 量子群u_q(sl(2))中理想的唯一分解 |
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| 引用本文： | 李立斌,孙建华.量子群u_q(sl(2))中理想的唯一分解[J].数学年刊A辑(中文版),2004(6). |
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| 作者姓名： | 李立斌 孙建华 |
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| 作者单位： | 扬州大学数学科学学院，扬州大学数学科学学院 江苏 扬州 225002，江苏 扬州 225002 |
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| 基金项目： | 国家自然科学基金
江苏省自然科学基金资助的项目. |
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| 摘 要： | 本文利用量子群uq(sl(2))的表示及其理想的生成子,证明了uq(sl(2))的任一非零理想在某种意义下可唯一分解为若干个素理想的乘积.由此得到理想的求根公式.
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| 关 键 词： | 量子群 理想 唯一分解 |
UNIQUE DECOMPOSITION OF THE IDEALS IN QUANTUMGROUP U_q(sl(2)) |
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| LI Libin SUN JianhuaSchool of Mathematics,Yangzhou University,Yangzhou ,Jiangsu,China.School of Mathematics,Yangzhou University,Yangzhou ,Jiangsu,China..UNIQUE DECOMPOSITION OF THE IDEALS IN QUANTUMGROUP U_q(sl(2))[J].Chinese Annals of Mathematics,2004(6). |
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| Authors: | LI Libin SUN JianhuaSchool of Mathematics Yangzhou University Yangzhou Jiangsu ChinaSchool of Mathematics Yangzhou University Yangzhou Jiangsu China |
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| Institution: | LI Libin SUN JianhuaSchool of Mathematics,Yangzhou University,Yangzhou 225002,Jiangsu,China.School of Mathematics,Yangzhou University,Yangzhou 225002,Jiangsu,China. |
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| Abstract: | Using the representations and generators of the ideals of quantum group uq(sl(2)), the authors prove that every non-zero ideal of Uq(sl(2)) can be uniquely in a sense written as a product of some prime ideals. It turns out that the result gives a formula of solving radical for an ideal. |
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| Keywords: | Quantum group Ideal Unique decomposition |
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