| Cartan型李代数的不可约表示 |
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| 引用本文： | 吴隋超,蒋志洪,濮燕敏.Cartan型李代数的不可约表示[J].同济大学学报(自然科学版),2009,37(2). |
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| 作者姓名： | 吴隋超 蒋志洪 濮燕敏 |
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| 作者单位： | 同济大学,数学系,上海,200092 |
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| 基金项目： | 国家自然科学基金，高等学校博士学科点专项科研基金 |
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| 摘 要： | 利用广义限制李代数的概念和性质,研究Cartan型李代数L=X(m,n)(X=W,S,H)的不可约表示,给出了特征标高度h(2≤h
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| 关 键 词： | Cartan型李代数 广义限制李代数 特征标 不可约模 |
Irreducible Representations of Cartan type Lie Algebras |
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| WU Suichao,JIANG Zhihong and PU Yanmin.Irreducible Representations of Cartan type Lie Algebras[J].Journal of Tongji University(Natural Science),2009,37(2). |
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| Authors: | WU Suichao JIANG Zhihong and PU Yanmin |
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| Institution: | Department of Mathematics,Tongji University,Shanghai 200092,China;Department of Mathematics,Tongji University,Shanghai 200092,China;Department of Mathematics,Tongji University,Shanghai 200092,China |
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| Abstract: | Let L=X(m,n)(X=W,S,H) be a Lie algebra of Cartan type.Based on the concept of generalized restricted Lie algebras,the paper presents a study of the irreducible representations of Cartan type Lie algbras L and the structure of irreducible modules is determined whose character height is no less than 2 and less than p-2. |
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| Keywords: | Lie algebras of Cartan type generalized restricted Lie algebras characters irreducible modules |
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