Search is your friend, all these questions have been answered in this forum before...
But hey, for you only, here we go:
SAS only works when on overun (trottle closed, slowing down, revs still up) It bleeds air in the exhaust to clean the cat. Controled by ECU and works also on the akra map.
Lambda sensor or O2 as called on this forum are 2 sensors in the downpipes and tells the ECU if the mixture is rich or lean. On low rpm and small trottle openings it tries to lean out the mixture for green reasons. (hence some bikes are snatchy when cruising)
Akra map does away with it, PCIII comes with plug in resistors to eliminate this.