I can't understand how to compute exterior powers in the exterior algebra $\bigwedge V$ where $V$ is a graded vector space.
I know for a single (not graded), $k$-vector space, that $\bigwedge V=\bigwedge^0 V\oplus\bigwedge^2 V\oplus...$ with the convention $\bigwedge^0 V=k$ and $\bigwedge^1 V=V$ , but what happens when $V$ is graded?
Thanks!