| 微分算子代数的一种不可约Harish-Chandra模的分类 |
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| 引用本文： | 赵开明.微分算子代数的一种不可约Harish-Chandra模的分类[J].数学学报,1994,37(3):332-337. |
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| 作者姓名： | 赵开明 |
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| 作者单位： | 中国科学院系统科学研究所!北京100080 |
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| 摘 要： | 本文首先讨论了微分算子Ｌｉｅ代数的单性，然后确定出了微分算子Ｌｉｅ代数的权重数都是１的所有不可约Ｈａｒｉｓｈ－Ｃｈａｎｄｒａ模。
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| 关 键 词： | 微分算子Lie代数 不可约表示 Harish-Chandra模 |
| 收稿时间： | 1992-10-4 |
Classification of A Kind of Irreducible Harish-Chandra Modules over the Algebras of Differential Operators |
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| Zhao Kaiming.Classification of A Kind of Irreducible Harish-Chandra Modules over the Algebras of Differential Operators[J].Acta Mathematica Sinica,1994,37(3):332-337. |
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| Authors: | Zhao Kaiming |
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| Institution: | Zhao Kaiming (Institute of Systems Science, Acdemia Sinica, Beijing 100O8O, China) |
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| Abstract: | In the present paper, the classification of irreducible Harish-Chandra modules over the associative algebra of differential operators is given, and then the classificiation of irreducible Harish-Chandra modules over the Lie algebra of differential operators with all weight spaces being 1-dimensional is also obtained. |
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| Keywords: | Harish-Chandra modules the (Lie) algebra of differeatial operators irreducible Harish-Chandra modules |
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