Adobe AIR installation fails on Fedora 10 x86_64 without any explanations. It just says:
An error occurred while installing Adobe AIR. Installation may not be allowed by your administrator. Please contact your administrator.
The reason is some missing i386 packages. You just have to run following command:
yum install gtk2-devel.i386 nss.i386 libxml2-devel.i386 libxslt.i386 gnome-keyring.i386 rpm-devel.i386
You may already have some these packages. Don’t worry about that, yum will skip them. After yum finishes, retry installation of AIR, it should work now.