| 量子代数${\cal U}_q(f(K,H))$的量子伴随作用 |
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| 引用本文： | 董井成,李立斌,陈惠香.量子代数${\cal U}_q(f(K,H))$的量子伴随作用[J].数学研究及应用,2009,29(2):191-201. |
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| 作者姓名： | 董井成 李立斌 陈惠香 |
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| 作者单位： | |
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| 基金项目： | 国家自然科学基金，Sino-German Project，Nanjing Agricultural University Youth Science and Technology Innovation Foundation |
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| 摘 要： | Let H = uq（sl（2）） or u（sl（2））. By means of the standard basis of polynomial algebras, the Glebsch-Gordan formula and quantum Clebsch-Gordan formula are proved by a unified method, and the explicit formula of the decomposition of V（1）^n into the direct sum of simple modules is given in this paper.
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| 关 键 词： | 多项式代数 标准基 应用 量子群 |
| 收稿时间： | 2007/1/15 0:00:00 |
| 修稿时间： | 3/8/2008 12:00:00 AM |
A Class of Standard Bases of Polynomial Algebras and Its Applications |
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| DONG Jing Cheng,LI Li Bin and CHEN Hui Xiang.A Class of Standard Bases of Polynomial Algebras and Its Applications[J].Journal of Mathematical Research with Applications,2009,29(2):191-201. |
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| Authors: | DONG Jing Cheng LI Li Bin and CHEN Hui Xiang |
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| Institution: | School of Mathematics, Yangzhou University, Jiangsu 225002, China; College of Engineering, Nanjing Agricultural University, Jiangsu 210031, China;School of Mathematics, Yangzhou University, Jiangsu 225002, China;School of Mathematics, Yangzhou University, Jiangsu 225002, China |
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| Abstract: | Let H=Uq(sl(2))or U(sl(2)).By means of the standard basis of polynomial algebras,the Clebsch-Gordan formula and quantum Clebsch-Gordan formula are proved by a unified method,and the expticit formula of the decomposition of V(1)⊕n into the direet sum of simple modules is given in this paper. |
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| Keywords: | standard basis quantum group Clebsch-Gordan formula Grothendieck ring |
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