I have this confusion over Exterior Algebra.
Sometimes I see it defined as $\Lambda(V)$. (e.g. https://en.wikipedia.org/wiki/Exterior_algebra)
While sometimes it is defined as $\Lambda(V^*)$, where $V^*$ is the dual of the vector space $V$. (e.g. John Lee's book).
Can someone enlighten me why is this so?