Splitting fields of real irreducible representations of finite groups
| Autor: | Pasechnik, Dmitrii V. |
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| Rok vydání: | 2021 |
| Předmět: | |
| Zdroj: | Represent. Theory 25 (2021), 897-902 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1090/ert/587 |
| Popis: | We show that any irreducible representation $\rho$ of a finite group $G$ of exponent $n$, realisable over $\mathbb{R}$, is realisable over the field $E:=\mathbb{Q}(\zeta_n)\cap\mathbb{R}$ of real cyclotomic numbers of order $n$, and describe an algorithmic procedure transforming a realisation of $\rho$ over $\mathbb{Q}(\zeta_n)$ to one over $E$. Comment: pdflatex/lualatex, 8 pages - accepted to AMS Representation Theory version |
| Databáze: | arXiv |
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