Yes :) The red circle is the LP. The red line is the warm front and the blue line is the cold front.
I attached another picture to show the various conveyer belts (as they are referred to). The WCB is the Warm Conveyer Belt. In the warm sector (east of the cold front and south of the warm front), warm air rises and contracts. Consequently, the air in this sector becomes warmer and and more moist. This leads to instability as the cold front approaches, thus leading to the potential for strong storms ahead of the cold front. More on that later. However, we'll ahead of the cold front, the air tends to be conditionally stable.
North of warm front, the WCB is forced higher into the atmosphere, because the warm air is attempting to override the cooler air at the surface ahead of the front. Warm air is less dense. This is because temperature is the measure of the average kinetic energy of a parcel. When a parcel is warmer, it is by default moving more quickly. As such, within a block of air, this means that the air parcels are naturally further apart as they are not only moving faster, but in order to slow them down, it takes longer. Thus the air parcels spread further out, making them less dense. Therefore, North of the warm front, the WCB is shifted higher and higher into the atmosphere. This also explains the cold air damming that tends to be associated with LP systems. The dense cold air is not easily scoured out at the lower levels and forces the WCB to override the cold air. Remember, the WCB contains air with a good amount more moisture than the air below it - the rather dry cooler air. Many times the WCB is unstable and will lead to precipitation breaking out ahead of the warm front, which is where severe icing can take place.
The CCB is the Cold Conveyer Belt. This originates from the east and remains in the lower levels until is to the NW of the LP. Here, the CCB tends to rise to about H5 (500mb level) and then turns cyclonic (assimilating with the jet stream). The CCB gathers moisture from the WCB above it, as the WCB releases precipitation. In other words, North of the warm front, the WCB ascends high into the atmosphere and the CCB runs below it. As the CCB runs below it, it gathers moisture from the precipitation falling out of the WCB. When the CCB reaches west of the LP, it ascends into the atmosphere. This ascension is what allows for the baroclynic leaf seen the NW of mid latitude cyclones. This leaf is also what allows a storm on BM to crush the major cities of the EC with heavy snow. As a side note, when the baroclynic leaf is not very tall, it indicates a CCB that is devoid of moisture. In other words, when the CCB is shallow, do not expecting a crushing snow storm.
The DCB is the Dry Conveyer Belt. As an LP begins to develop and mature, it begins to bring in air from a variety of locations. One such place includes the bottom of the stratosphere. This air descends and maintains rather low humidity/ moisture content. The DCB is important for a couple of reasons. One, it maintains the stark temperature contrast behind the cold front. Two, it creates the clearing just S and SW of the comma cloud. Three, while it is not thought to pass through the WCB, there are indications that it will pass above or below it, thus leading to instability. This is one of the processes in which convective snows (ie thundersnow - happy Jim Cantore weather as I call it) are produced.