【摘要】 对于n秩单李代数g,当采用Dynkin关于素根的分类时,其不可约表示可以用n个非负整数Λ_αi标记,也可通过初等表示的权用数组li来标记。利用Cartan逆矩阵,我们给出了计算Λ_αi与li之间关系的方法。对于B_n、C_n、D_n和F₄,利用Cartan逆矩阵证明了这些li是与采用Cartan关于素根的分类时的Λi是一致的。更多还原

【Abstract】 For simple Lie algebrag of rankn, when the Dynkin Classification ofsimple roots is chosen, its irreducible representation can be labelled by nunnegative integers （?）α_i and also be labelled by li by using the weightsof elementary representation. By means of the Cartan inverse matrix, themethods for calculating the relationsbetween （?）α_i and li are given. Theseli and （?）_i for which the Cartan classification of simple roots is chosen areidentified for B_n, C_n, D_n, and F₄.更多还原