# Lie-algebra valued non-abelian differential forms in Mathematica

I am trying to implement wedge product of Lie-algebra valued differential forms in the non-abelian case. Concretely, I am intereste in 1- and 2-forms, that is, $$A$$ and $$F$$. Is there a way of doing this? I tried using the normal definitions for tensors but the wedge product of $$A$$ with itself gives me zero.

Alternatively, is there a package to do this?