And what gender and species are we working on. I will make an assumption, and everybody knows where that leads. You are working on the Craftsman, so in most cases the pulley should slide off when you remove the electric clutch. in some cases I have had to cut the top pulley off various mowers because it was seized to the shaft.
If there is a sleeve tubing portion you can get to with a couple of hammers ( 1 for backup ) tap, tap, tap the sides of it in a couple different positions to distort it just enough to break a crusty bond that sometimes forms over the years.