Introduction to Representation Theory
《Introduction to Representation Theory》 · 第 115–116 页 · Chapter 5，Section 5.15「The Frobenius character formula」，Theorem 5.15.1
Theorem 5.15.1. Let $N ge p$. Then $chi_{V_lambda}(C_{mathbf i})$ is the coefficient of $x^{lambda+
ho} := prod x_j^{lambda_j+N-j}$ in the polynomial $Delta(x)prod_{mge 1} (sum_j x_j^m)^{i_m}$.