Punch Lances (3.5e Equipment)

Special: Punch lances may be treated as light weapons in the off-hand while mounted for the purposes of two-weapon fighting penalties. A punch lance deals double damage when used from the back of a charging mount.

People have successfully put virtually all major combat styles on horseback at some time in the past, and the punch lances are the result of someone saying "we should take some people with Katars, and put *them* on horses". And so they did.