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A representation $\rho$ is faithful if it is injective as a homomorphism to $\GL(V)$. In terms of the character $\chi$ of $\rho$, this will hold precisely when $\chi(g) = \chi(1)$ implies $g = 1$.

Knowl status:
  • Review status: reviewed
  • Last edited by David Roe on 2021-10-11 16:22:47
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