You can use any of the Commercial or Open-Source frameworks to develop or even use Lua API in your own apps. Here's a list of the frameworks you could use.
You can find the list of tools that help make development a plesant experience.
Find the resources, images, code and tutorials that help you use Lua in your development process.
This is a site for developers that want to use Lua for development. You could use any framework that you like, Lua works well with them all.