Tara if you get a beach umbrella and find a place on your tractor seat to attach a pvc pipe (wire it on is the easy way) that is just a little bigger in diameter than the umbrella plug the bottom end of the pipe and viola you have an umbrella.
I did this with a metal garden kneeling bench y umbrella also tilts. I have used for years it really make a difference when it is so hot to have some shade. I do like your tractor seat being it is movable on wheels I have to move my bench around.