I read the reply by MrFixAll and am intrigued.  Mine is a 19.5 HP Craftsman with the hydro-static transaxle.  Problem is slippage mostly after it warms up.  
I had the Sears repair man out and he said there is no tension adjustment for the belt, which I thought was odd, but he's the pro, right?  Is that correct - no tension adjustment?
Sears and other shops all say the transaxle cannot be serviced.  Approx. 10 years old.  Does the fluid deteriorate?  There is no drain, there is not really a fill hole either, but rather what would appear to be a vent.  If I drilled the case and replaced the fluid, what precautions would I have to take to get the air out of the system?  Would I fill it from the bottom or from that vent-like gizmo on the top?