How to replace a Sony Vaio sve1511v1ew keyboard?

I have got a Sony Vaio sve1511v1ew on which some of the keys are stuck that is why I would like to replace the keyboard. But I cannot figure out how to get to the keyboard.

I have already removed the base plate together with the battery, the dvd rom, the hd and ram but then I do not know how to go on. Do I have to remove the whole mainboard? That would be horrible!

Can you help me? Do you have a service manual or a video?