论文标题
通过小组决定因素的增压器理论
Supercharacter theory via the group determinant
论文作者
论文摘要
Ferdinand Georg Frobenius通常被认为是有限群体的性格理论的创造者。这项成就来自对小组决定因素的研究，这是来自常规代表的矩阵的决定因素。在本文中，我们概括了Frobenius关于小组决定因素的几个结果，并使用它们找到了基于组决定因素的因素化的新公式。
Ferdinand Georg Frobenius is generally considered the creator of character theory of finite groups. This achievement came from the study of the group determinant, which is the determinant of a matrix coming from the regular representation. In this paper, we generalize several of Frobenius' results about the group determinant and use them find a new formulation of supercharacter theory in terms of factorizations of the group determinant.
