err? do you mean skills that you learn once and then have in every battles?? there aren't skills like that in demigods, just favor items: you buy them with points gained after several games and you can equip one of them in each battle.
I don't know if you will be able to use them in LAN or not. I imagine that if one of the lan players has unlocked them, they will be available for every players; but again i don't know, we weren't able to test the lan system during the beta