表代数中的Burnside-Brauer定理和Character积
Burnside-Brauer Theorem and Character Products in Table Algebras
摘要：
本文首先证明了商表代数模正规闭子集的不可约特征标可以看作是表代数自身的不可约特征标。进一步，我们定义了表代数的特征标积，给出了两个特征标的积是特征标的一个条件。然后，作为主要结果，我们陈述并证明了表代数的有限群上的Burnside-Brauer定理。
英文摘要：
In this paper, we first show that the irreducible characters of a quotient table algebra modulo a normal closed subset can be viewed as the irreducible characters of the table algebra itself. Furthermore, we define the character products for table algebras and give a condition in which the products of two characters are characters. Thereafter, as a main result we state and prove the Burnside-Brauer Theorem on finite groups for table algebras.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
