Can anyone take part in creative arts or is it limited to the privileged few? (Who are these few and how do they ensure they keep the arts as a closed shop? Is that due to money alone?).
Does your fictional world "import", "borrow" or otherwise steal good creative ideas from other worlds? My Fairy Kingdom regularly pinches ideas it likes from Earth despite despising humanity for its warlike and polluting "qualities" (hypocrisy is no crime here!).
Equally are the arts held in contempt because your fictional world thinks science, engineering etc to be far more important? How does your world treat those who don't toe the official line (which is a good general question to answer also on how your world is governed and its politics)?
Brainstorming questions and answers to them can be a great way of helping you flesh out your fictional world before you start writing about it in earnest.