A generalization of Weyl's denominator formulas for the classical groups

JOURNAL OF ALGEBRA

卷:302

Article

Ito, Masahiko ; Koike, Kazuhiko

关键词: vandermonde determinant;    Weyl's denominator formulas;   

DOI  :  10.1016/j.jalgebra.2006.05.026

来源: Elsevier

【 摘 要 】

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). (c) 2006 Elsevier Inc. All rights reserved.

【 授权许可】

Free