A generalization of Weyl's denominator formulas for the classical groups☆
A generalization of Weyl's denominator formulas for the classical groups☆
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DOI：
10.1016/j.jalgebra.2006.05.026
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发表时间：
2006-08
影响因子：
0.9
通讯作者：
Masahiko Ito;K. Koike
中科院分区：
文献类型：
--
作者：
Masahiko Ito;K. Koike
我们给出了经典群的韦尔分母公式的推广。我们考虑矩阵的组成部分是矩阵每列的受限变量中各自经典群的特征，并证明矩阵的行列式等于基本交替多项式的幂（Weyl 分母公式的原始分母）。
We give a generalization of Weyl's denominator formulas for the classical groups. We consider the matrices whose constituents are the characters of the respective classical groups in the restricted variables for each column of the matrices and show that the determinants of the matrices are equal to the powers of the fundamental alternating polynomials (the original denominators of Weyl's denominator formulas).