Lithium batteries have protection(either in the battery or the notebook) against deep discharge(as this is bad for the batter). They also have protection against over charge(something ni-cad and nhm did not have because they did not rupture when overcharged[it could still damage them]).
You do NOT want to deep discharge it.
You may have to set your laptop to allow the battery to drain to a low number like 5% or something, but for lithium-ion that IS dead.