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Composing an Artin representation $\Gal(\overline{\Q}/\Q)\to\GL_n(\C)$ with the natural projection $\GL_n(\C)\to\PGL_n(\C)$ gives a continuous homomorphism $\rho:\Gal(\overline{\Q}/\Q)\to\PGL_n(\C)$ with finite image.

The image of $\rho$ is the projective image of the Artin representation.

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  • Review status: beta
  • Last edited by John Jones on 2020-05-30 14:10:18
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