DUE TO SPAM, SIGN-UP IS DISABLED. Goto Selfserve wiki signup and request an account.
...
(thanks to http://www.ubuntubuzz.com/2012/08/how-to-install-adobe-air-on-ubuntu-1204.html)
Fedora and other .rpm based system (such as CentOS)
Currently .rpm's of the installer are not available.
Follow the instructions above to install the AIR runtime, then there has been some success reported using alien to convert the .deb package and install that. You will find the installer in /opt if all went well.