| 特征13时A_2型Chevalley群的Cartan不变量矩阵 |
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| 引用本文： | 胡余旺,江维,杜凤华.特征13时A_2型Chevalley群的Cartan不变量矩阵[J].信阳师范学院学报(自然科学版),2014(4):469-472. |
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| 作者姓名： | 胡余旺 江维 杜凤华 |
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| 作者单位： | 1. 信阳师范学院 数学与信息科学学院,河南 信阳,464000
2. 商城县高级中学,河南 商城,465300 |
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| 摘 要： | 确定出13个元素的有限域F13上A2型Chevalley群G(1)=SL(3,13)的Cartan不变量矩阵C=(c(1)λμ)λ,μ∈X1(T),利用MATLAB软件计算C的行列式的值是1318,符合Brauer的结论.
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| 关 键 词： | Cartan不变量 Weyl模 不可约模 主不可分解模 |
Cartan Invariant Matrix for Chevalley Group of Type A2 with Characteristic 13 |
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| Hu Yuwang,Jiang Wei,Du Fenghua.Cartan Invariant Matrix for Chevalley Group of Type A2 with Characteristic 13[J].Journal of Xinyang Teachers College(Natural Science Edition),2014(4):469-472. |
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| Authors: | Hu Yuwang Jiang Wei Du Fenghua |
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| Institution: | Hu Yuwang;Jiang Wei;Du Fenghua;College of Mathematics and Information Science,Xinyang Normal University;Senior High School of Shangcheng County; |
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| Abstract: | The Cartan invariant matrix C =(c(1)λμ)λ,μ∈X1(T)for Chevalley group G(1) = SL(3,13) of type A2 over the finite field F13 with 13 elements was determined,and detC = 1318 was given by MATLAB soft. |
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| Keywords: | Cartan invariant Weyl module irreducible module principal indecomposable module |
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