| Contact代数K(m,n)的不可约模的结构 |
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| 引用本文： | 杨群广,蒋志洪. Contact代数K(m,n)的不可约模的结构[J]. 数学年刊A辑(中文版), 2010, 31(2): 229-238 |
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| 作者姓名： | 杨群广 蒋志洪 |
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| 作者单位： | 同济大学数学系; |
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| 基金项目： | 国家自然科学基金(No.10671142)资助的项目 |
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| 摘 要： | 利用广义限制李代数的概念和性质,研究Contact代数K(m,n)的不可约表示,给出了特征标高度大于等于2且小于p-3的不可约K(m,n)-模的结构.
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| 关 键 词： | Contact代数 广义限制李代数 特征标 不可约模 |
The Structure of Irreducible Modules of the Contact Algebra K(m, n) |
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| YANG Qunguang and JIANG Zhihong. The Structure of Irreducible Modules of the Contact Algebra K(m, n)[J]. Chinese Annals of Mathematics, 2010, 31(2): 229-238 |
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| Authors: | YANG Qunguang and JIANG Zhihong |
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| Affiliation: | YANG Qunguang~1 JIANG Zhihong~1 1 Department of Mathematics,Tongji University,Shanghai 200092,China. |
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| Abstract: | Let K = K(m, n) be a Contact algebra. By using the concept of generalized restricted Lie algebras, this paper deals with the irreducible representations of Contact algebra K(m, n) and determines the constructions of irreducible modules whose character height is bigger than or equal to 2 and less than p-3. |
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| Keywords: | Contact algebra Generalized restricted Lie algebras Character height Irreducible modules |
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