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Given an Artin representation $\rho:\Gal(\overline{\Q}/\Q)\to\GL(V)$, where $V$ is a finite dimensional vector space over $\C$, we can compose with the $\det:\GL(V)\to \C^\times$ to get a one-dimensional Artin representation. This one-dimensional representation is called the determinant of $\rho$.

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• Review status: reviewed
• Last edited by Alina Bucur on 2019-05-02 20:46:28
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