According to Apple, your Mini isn't supported under Lion: "Your Mac must have an Intel Core 2 Duo, Core i3, Core i5, Core i7, or Xeon processor to run Lion."
I have a Core Duo-powered Mini and am in the same boat. That said, my Mini is at least five years old, and I don't think it's at all unreasonable for Apple to focus their limited resources on more modern machines. Besides, my Mini is running Tiger in a data center, so I'm not losing any sleep over not being to run full-screen apps on it. ;)