Good info right there, pmsmechanic.The charge light is turned off by two positive voltages. One positive comes from the key switch and the other comes from the alternator. When the alternator is not charging that circuit is negative and the light turns on. As the alternator starts charging that circuit becomes positive and turns the light off.
The first thing I would do is take a multi meter and check the actual volts that you are getting at the alternator and at the battery. There might be nothing wrong with the alternator and the fault might be all in the charge light circuit.
We had very cold temps here a couple weeks ago. Below 10 degrees for maybe a couple weeks. The tractor started fine the few days I needed it. But, I kept it running mostly without lights and at rpms that wouldn't turn the charge light on.
If I run it with lights (charge light on) for long periods the lights will dim (battery dying).