I have a language defined as L = {0, 1}$^*$ - {$0^n$$1^n$ : n >= 0}.
I'm not sure what the hyphen's (-) function is.
The alphabet is not defined in this homework problem so I do not know if it is a character or an operator and I cannot find a definition for it in my textbook or online.
It is a minus sign, i.e., relative complement. Your L is all sequences except those which are n 0s followed by n 1s, any n. – user10354138 19 mins ago