In this article, we show a very simple algorithm for the evaluation of the character tables applicable to all finite point groups. The method uses linear combinations of the symmetry operators associated with the point group’s classes as the basis set. Eigenvectors of the resulting matrix of such representations are related to the character table of the point group. The method is readily adaptable to both classroom demonstrations, exercises, and program implementation.

中文翻译：

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课堂友好的方法来计算有限组的字符表

在本文中，我们展示了一种非常简单的算法，用于评估适用于所有有限点组的字符表。该方法使用与点组的类别关联的对称算子的线性组合作为基础集。这样表示的结果矩阵的特征向量与点组的字符表有关。该方法很容易适用于课堂演示，练习和程序实施。