I know that given a manifold $M$ and its corresponding tangent bundle $TM$ we can call $\Pi TM$ the space of forms parametrized (via charts) by $\{x_i\}_{i=1,\dotsc,n}$ and its corresponding cotangent basis $\{dx_i\}_{i=1,\dotsc,n}$. The notation is due to the fact that this space is a $n|n$-supermanifold, since the coordinates of cotangent bundle is anti-commutative.

My question is: Given a Lie algebra $\mathfrak{g}$, what would be $\Pi\mathfrak{g}$? I currently see this notation and don't know what it means.

Wheredo you see this notation? $\endgroup$