AI 中文总结
本文通过外积推导Frobenius特征公式，用其算出$S_2$和$S_3$的特征标表，附录含$S_3$类别的Schur函数计算，还分析了朴素计算复杂度。
AI 中文摘要
在本注记中，我们利用外积（wedge product）对Frobenius特征公式进行了另一种推导，所得公式用于计算对称群$S_2$和$S_3$的特征标表，结果与它们的特征标表完全一致；$S_3$群各类别的计算内容见附录B，计算以Schur函数的形式给出。第一节简要概述了对称群及相关公式，第二节推导该公式，末尾还给出了一种朴素的计算复杂度分析方法。
英文摘要
In this note we give an alternative derivation of Frobenius Character Formula using wedge product, the resulting formula is used to calculate the character table of $S_{2}$ and $S_{3}$ Group which reproduces their character table correctly, calculations for classes of $S_{3}$ Group are given in the appendix B. The calculations are given in terms Schur Functions. In the first section, a brief indicative review of Symmetric Group and related formulas is given. In Section second we derive the formula. A naive approach to computational complexity is also presented at the end.
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