So in a 3 phase induction generator with coils for the stator and magnets for on the rotor, I am wondering if the the current induced in the coils would create a magnetic field that would oppose the rotation of the magnets on the rotor?
Yes, any generator will be subject to this effect.
You can't get something for nothing, so the more current drawn from the coils, the larger the (opposing) magnetic field (counter mmf) and the harder the rotor will be to turn.
If this didn't happen then the amount of energy required to turn the rotor would not change according to the load on the output, which would break the laws of physics.
All generators work such that the output current produces a force that opposes the rotation. Think about it. This comes from basic physics without having to know anything about how a generator works. If there were no back force, there would be no power going into the generator from turning its shaft, which means no power could be coming out.
if you follow Lenz's law.... effect opposes its cause.... in induction generator, the cause of current in coil is relative movement of magnetic field produced by rotor magnets. now by lenz's law, the current in stator will produce the magnetic field which opposes the cause "THE MOVEMENT", so it will try to stop the rotor... and the till the rotor is rotating, the current will flow in stator. also, the force is dependent on load also... greater the load, greater the current is drawn from stator, the greater will be the field created by stator, but to feed the greater load, the greater energy input from rotor side is also required to maintain the system at rated operation. thats how it works!!!