Can you explain what you mean by a2 b2 a'2 b'2?
Double comms, to my knowledge, refer to 2 commutators that cancel together. For example, for 4x4, [l', R U R' U'] [R U R' U', r] which cancels to l' R U R' U' l r U R U' R' r, which you would use to solve the 2 wing pieces for the UB edge (K4LL).