Welcome. My name is ***** ***** would be glad to assist.
Do you have a 2 lead voltage tester to check the 2 wires connected to the light kit?
It sounds like the wattage limiter has failed, but prefer to be sure.
They are prone to failure unfortunately. They are required now to limit the wattage on the light kits since the government stepped in a number of years ago.
They do their job, but the issue is the quality is awful on the limiters and they constantly fail.
The other issue is, they can only be found at a few locations on line, and never in any local building supply.
I can suggest the best source for a replacement, www.eceilingfans.com
Best to be sure it is the limiter prior to calling to get one if we can and why it takes a 2 lead tester to check the bulb wires at the light kit.
It could be a pull chain switch if it has one, that can be bypassed if you wish, but the wattage limiter is something that cannot be bypassed for testing.
It could also be a receiver if the fan is controlled by a remote.
So, possible 3 items to check depending on your setup.
Let me know if you can test or which direction you wish to proceed.