Hi Stieglitz,
By default, the keyboard is locked during lesson playback (this is for both the Courses and Categories) - but you can always turn the keyboard lock off (and then turn the mouse lock on) if you prefer using your keyboard instead!
To do this, simply go to the Playback Screen, select a Course or Category and then find the mouse and keyboard lock buttons in the left side of the Play Panel. Just click once on the keyboard lock to turn it off (the light should turn red) and also on the mouse lock to turn it on (the light should turn green).
You should then be able to move through each lesson slide using your keyboard.