creating a corporate account would technically be a violation of the TOS, since all accounts are to be real persons. Perhaps, though, you meant create another account with your name but with a diferent gmail address? Not sure if that's considered legit or not, and it would probably cause confusion when people searched for you and weren't sure which account to follow.
Does your business use Google Apps? I created our business page using my corporate Google Apps account to keep it separate from my personal account.
You can't currently add other admins, but Google+ staffers have said that is in the works and will be available soon.