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特征13时A2型Chevalley群的Cartan不变量矩阵

Cartan Invariant Matrix for Chevalley Group of Type  A2  with Characteristic 13

    摘要
  • 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.

     

    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 det C=1318was given by MATLAB soft.

     

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