An Artin representation $\rho:\Gal(\overline\Q/\Q)\to \GL(V)$ is **even** or **odd** if $\det(\rho(c))$ equals $1$ or $-1$, respectively, where $c$ is a complex conjugation.

**Authors:**

**Knowl status:**

- Review status: reviewed
- Last edited by Andrew Sutherland on 2019-05-05 14:23:54

**Referred to by:**

- cmf.galois_representation
- lmfdb/artin_representations/templates/artin-representation-galois-orbit.html (line 14)
- lmfdb/artin_representations/templates/artin-representation-index.html (line 79)
- lmfdb/artin_representations/templates/artin-representation-search.html (line 13)
- lmfdb/artin_representations/templates/artin-representation-show.html (line 14)

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

- 2019-05-05 14:23:54 by Andrew Sutherland (Reviewed)
- 2019-05-02 23:10:38 by Alina Bucur (Reviewed)
- 2019-05-02 21:01:36 by Alina Bucur (Reviewed)
- 2013-09-13 16:36:04 by John Jones

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