The term "hegemony" is a Leftist buzzword - funnily enough, I've NEVER heard a coherent explanation from one of them as to its exact meaning. I suspect that they don't even really understand it, other than to know it's VERY, VERY BAD!
A good starter explanation.
If you understand the bureaucrats and "intellectuals" as the deputies or agents of the ruling class, you will understand just who rules America, and it AIN'T Conservatives!
Yet another explanation.
To hear a Leftist Professor tell it, hegemony is a BAD THING. So, why are they so eager to impose THEIR hegemony on the rest of us?
It's a puzzlement.