In game this is not possible, you wont be able to just have the game on one screen and a live map (in game) on the other.
BUT! You can play skyrim on one screen, then use this here link (http://img4.wikia.nocookie.net/__cb20120124131942/elderscrolls/images/8/88/Skyrimmap.png)
and display the image in full screen on the screen not playing skyrim.
This is the best I can think of without some sort of mod (none of which exist to my knowledge)
Hope this helps!