On the monomial algebra associated to the monomial characters of a finite group
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2022
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| _version_ | 1866914775422730240 |
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| author | Cimpoeas, Mircea Radu, Alexandru F. |
| author_facet | Cimpoeas, Mircea Radu, Alexandru F. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2205_13597 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | On the monomial algebra associated to the monomial characters of a finite group Cimpoeas, Mircea Radu, Alexandru F. Representation Theory Commutative Algebra Number Theory 11R42, 20C15 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. |
| title | On the monomial algebra associated to the monomial characters of a finite group |
| topic | Representation Theory Commutative Algebra Number Theory 11R42, 20C15 |
| url | https://arxiv.org/abs/2205.13597 |