Let $V$ a **real** vector space of dimension $d$. Let $1<k < d-1$. Consider the map induced by the exterior algebra functor: 

$$ \psi:\text{End}(V) \to \text{End}(\bigwedge^kV)  \, \, \, \, , \, \, \,\psi(A)=\bigwedge^k A$$

>Is the image of $\psi$ closed in the standard topology on the $\text{Hom}$-space?




[1]:https://www.sciencedirect.com/science/article/pii/S0001870813001606
[2]:https://math.stackexchange.com/a/2777068/104576