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 $\rho$.

**Authors:**

**Knowl status:**

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

**History:**(expand/hide all)

**Differences**(show/hide)