First, welcome to the forum !!
You've got the possibility of three different problems with your charging system .
First could be worn out brushes that contact the slip rings on the alternator rotor, they get worn to the point, that the spring that keeps them in contact with the rotor can't keep them in contact, and then you get a glowing 'GEN' light .
Second could be stator problem .
Third possibility is a faulty voltage regulator .
Then there's the possibility of a wire problem in the system, not a component problem .
With a fully charged battery, place the leads from a multimeter on the battery terminals, start the engine, increase the engine rpm's to around 4,000, your charging system should be putting out around 14 volts, if it's not, you know you have a problem .
If you get good voltage with this test, I would check the brushes and the springs, especially if the bike has accumulated a fair amount of mileage/kilometerage .