Electrolysis is the process of applying an electrical current to a solution in order to separate the components of that liquid phase solution on the basis of their charge. If we consider molten calcium hydroxide, the ions present will be:
Ca⁺²
OH⁻
The cations, the ones with a positive charge, will be reduced at the cathode. Therefore, calcium metal will be produced at the cathode. The anions will be oxidized at the anode, which means hydrogen gas will be produced at the anode.