Is it possible to Overload Comparison Operands?

I know its possible to overload them in other languages, but I was wondering how you do it in Lua if it is possible, I've been surfing the internet for about 15-30 minutes now and can't really find a decent guide or definate answer that you can do it. But my google skills are pretty bad…

an example is that I want to compare Alpha and Beta, and I want it to recognize that Alpha < Beta and Beta < Gamma, etc.

You can do it with tables, setting the corresponding keys in it's metatable. For other types it's not possible.
Here's the list of the keys you can use.