A Clarifying Fradkin's Terminology on Quantum Numbers of Gauge Groups

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I'd like to clarify some terminology
Hi, I'd like to clarify the following terminology
(Fradkin, Quantum Field Theory an integrated approach)
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"carry the quantum numbers of the representation of the gauge group":
Does the author basically mean that the wilson loop is a charged operator, in a sense that it transforms non-trivially under gauge transformation:
W -> U(x) W U(x)^{-1}

Furthermore, the fact that the wilson loop transforms under the fundamental representation means that it is just a N x N matrix for SU(N) gauge field and transforms according the conjugation law above?

Finally, the so called "quantum numbers" are then just the charges associated with each gauge group generator?
 
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Yes, I think that's what Fradkin means.
 
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