Seminar series
Date
Tue, 17 May 2022
Time
14:00 -
15:00
Location
L6
Speaker
Dmitrii Pasechnik
Organisation
Oxford
We show that any irreducible representation $\rho$ of a finite group $G$ of exponent $n$, realisable over $\mathbb R$, is realisable over the field $E$ 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 $E$.