Yes, the main keys were Q/A, W/S, E/D for rotations around the major axes, arrows for moving in the XY plane (assuming the Z axis is "down") and SPACE was a for

Yes, the main keys were Q/A, W/S, E/D for rotations around the major axes, arrows for moving in the XY plane (assuming the Z axis is "down") and SPACE was a force drop I think? You can learn a lot of Group Theory trying to make a mental model of how the rotations work, since you get not just equations like QQQ = A but also (from memory so maybe wrong) something like QWQ = D. Shapes with symmetry axes generate subgroups, some (like the I block) even commutative ones. So technically you could live with only three of the rotation keys if you're the kind of person who rotates left three times when you want to rotate right. And of course, the 3D versions of the S/Z pieces can screw up your game even worse than the 2D ones.