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| 包络代数U(sl2(K))上单模张量积的零化理想 |
| Nilpotent Ideal of Simple Modumes Tensor Power of Enveloping Algebra U(sl2(K)) |
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| DOI：10.3969/j.issn.1671-5322.2004.03.011 |
| 中文关键词: 包络代数 理想 单模 生成子 |
| 英文关键词: enveloping algebra ideal simple module gernrator. |
| 基金项目: |
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| 摘要点击次数: 4584 |
| 全文下载次数: 4021 |
| 中文摘要: |
| 利用单李代数(sl2(K))的包络代数U(sl2(K))的理想及素理想的生成子刻划,得出了任一有限维单U-模的零化理想的生成子.根据Clebsch-Gordan公式,给出有限维单U-模的若干次张量积的零化理想的生成子描述. |
| 英文摘要: |
| According to the results about the generators of ideals and prime ideals of enveloping algebra U（sl2（K））, the author obtains the generators of the nilpotent ideals of any finite dimensional simple modules of U（sl2（K））. Then, using the Clebsch-Gordan formula, this paper describes the generators of the nilpotent ideals of ideals of tensor power of simple U-modules. |
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