Additionally, the right key to advance to the next turn, and the left key to go back to the turn (Intuitive?). The END key to go to the end of the replay.
Up key would speed up, and down key would slow down (Hyperfast, Fast, Normal, Slow, Really Slow).
It might make it a little more practical to go back and forth between turns as well.
Update: M key to turn on/turn off the music;
Update 2: C key to change Color scheme (Light/Dark) and D key for download the replay;
Update 3:
G key = " Go to turn... " ;
S key = "Switch sides";
Home key = Takes you to the beginning of the match.