So, I'm getting ready to install my new carbon seat post and, though I know that I should clean all the grease out of the seat tube, I don't know if I need to put any other kind of lubricant or carbon paste on the seat post before installation. The directions don't mention anything other than removing the grease. What do you all think? (BTW, the post is for my Allez.)

If you are installing a carbon fiber post in the Al seat tube of your Allez, I would apply carbon paste and torque to 55 in-lbs.
I have a new Roubaix SL3 which is carbon fiber with carbon post and no carbon paste is suggested and I don't run any. With carbon on Al I would however.
HTH.
PS: use alcohol to thoroughly clean the interior of the seat tube and seat post before applying the carbon paste.

carbon paste is highly recommended and yes, you should clean out the seat tube as much as possible.

you dont need carbon paste, but if it slips, the use it.

make sure your seatpost clamp bolt is greased though.

Carbon paste will help keep your seatpost in place and you won't need to use as much torque to clamp it in. It's just another preventative measure to avoid over-torquing the post.

Thanks for the replies!

Since the frame is aluminum, use the carbon paste to prevent the post siezing in the seat tube. Also, the seat tube should have torque specs -- they should be considered as well.