show · artin all knowls · up · search:

An Artin representation is a continuous homomorphism $\rho:\mathrm{Gal}(\overline{\Q}/\Q)\to\GL(V)$ from the absolute Galois group of $\Q$ to the automorphism group of a finite-dimensional $\C$-vector space $V$. Here continuity means that $\rho$ factors through the Galois group of some finite extension $K/\Q$, called the Artin field.

Authors:
Knowl status:
• Review status: beta
• Last edited by David Farmer on 2012-06-26 13:50:32
Referred to by:
History: