I agree with Genesis - alternator issue is the first place to look. I don't know that measuring the voltage will tell you though, as it would seem that the alt only lets you down when it's under a real heavy load.
If you know an auto-sparky, get him to "load test" the alternator. That'll soon tell you.
The other thing to maybe have a look at is the power connections to the amp itself, and at the battery terminal where you've connected there. If there's even the sightest contaminated connection, loose crimp, or whatever, it might be there that you're in fact losing the voltage that's causing your amp to shut down. (although, I can't see how that would cause your battery light to come on)
Worth a try anyhow....
Cheerz! :thumbsup:
PS - g'day King!