2 problems

Let $\mathbf{k}=(2)_{n+1}$ and $\mathbf{r}=(1,r_2,\dots,r_{n-1},1)$. For each $i$, let $G_i^{(r_i+1)}$ denote the set of $(r_i+1)$-minors of the flattening $\psi^{i-1}$, and let…

Let $\mathbf{k}=(k_0,\dots,k_n)$ and $\mathbf{r}=(r_1,\dots,r_n)$, let $\psi$ be a $k_0\times\cdots\times k_n$ tensor of indeterminates, and let $\psi^i$ denote its flattenings. Th…