Colony on the moon reached by space elevator. Opposing parties fighting for control of space elevator. Etiolated humans living in hidden part of colony. I have two authors in my head but can't pin down a title by either.
This sounds like the plots of Jumping off the Planet and Bouncing off the Moon -- the first two books of a trilogy by David Gerrold (concluded in Leaping to the Stars). The first novel involves conflict aboard a climber on the space elevator, while the second has a hidden Lunar colony, which the protagonists reach by crossing a long stretch of open surface in ball-like emergency pressure suits.