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微分算子代数的一种不可约Harish-Chandra模的分类
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.
作者姓名:赵开明
作者单位:中国科学院系统科学研究所!北京100080
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。

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
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.
Authors:Zhao Kaiming
Institution:Zhao Kaiming (Institute of Systems Science, Acdemia Sinica, Beijing 100O8O, China)
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.
Keywords:Harish-Chandra modules  the (Lie) algebra of differeatial operators  irreducible Harish-Chandra modules
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