论文标题
在与有限组的单一特征相关的单一代数上
On the monomial algebra associated to the monomial characters of a finite group
论文作者
论文摘要
鉴于有限的$ g $，我们研究了由$ g $的单一字符生成的单一代数$ r_g $。特别是，我们注意到，$ r_g $的整体关闭包含由这些字符$χ$生成的代数中，其相关的Artin L功能$ L（S，χ）$是holomorphic as holomorphic as $ s_0 \ in \ Mathbb C \ setMinus \ {1 \} $。另外，我们讨论了过渡剂理论案例。
Given a finite group $G$, we study the monomial algebra $R_G$, generated by the monomial characters of $G$. In particular, we note that the integral closure of $R_G$ is contained in the algebra generated by those characters $χ$ for which their associated Artin L-function $L(s,χ)$ is holomorphic at $s_0\in\mathbb C\setminus\{1\}$. Also, we discuss the supercharacter theoretic case.
