| On a Result of Pointed Representations of finite Dimensional Simple Lie Algebras |
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| 引用本文： | 徐祥. On a Result of Pointed Representations of finite Dimensional Simple Lie Algebras[J]. 数学季刊, 1993, 8(3): 63-65 |
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| 作者姓名： | 徐祥 |
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| 作者单位： | Institute of |
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| 摘 要： | There have been a great many of studies on the pointed representations of fi-nite-dimensional sanple Lie algebras.cf.[1][2]etc.In this paper we give a new proof of animpottant Lemma,and from this we derive our main result:Irreducible pointed modules of finite-dimesional simple Lie algebras are all Harish-Chandra modules.
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| 关 键 词： | 点表示 有限维简单李代数 代数同态 复数域 Cartan子代数 泛包络代数 模 |
On a Result of Pointed Representations of finite Dimensional Simple Lie Algebras |
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| Xu Xiang. On a Result of Pointed Representations of finite Dimensional Simple Lie Algebras[J]. Chinese Quarterly Journal of Mathematics, 1993, 8(3): 63-65 |
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| Authors: | Xu Xiang |
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| Affiliation: | InstituteofAppliedMathematics,ZhejiangUniversity |
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| Abstract: | There have been a great many of studies on the pointed representations of fi-nite-dimensional simple Lie algebras.cf.[1][2]etc.In this paper we give a nwe proof of an impottant Lemma,and from this we derive our main result:Irreducible pointed modules of finite-dimesional simple Lie algebras are all Harish-Chandra modules. |
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| Keywords: | Lie algebra algebra homomorphism |
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