| C2v | E | C2 | σv(xz) | σv′(yz) | 线性 / 转动linear, rotations | 二次quadratic |
|---|---|---|---|---|---|---|
| A1 | 1 | 1 | 1 | 1 | z | x², y², z² |
| A2 | 1 | 1 | −1 | −1 | Rz | xy |
| B1 | 1 | −1 | 1 | −1 | x, Ry | xz |
| B2 | 1 | −1 | −1 | 1 | y, Rx | yz |
约化可约表示Reduce a representation
输入可约表示在各类上的特征标，按约化公式 \(n_i = \frac{1}{h}\sum_R g_R\,\chi(R)\,\chi_i(R)^{*}\) 求出各不可约表示出现的次数。
Enter the characters of a reducible representation; the reduction formula gives how many times each irreducible representation occurs.