2 problems

Let $\mathcal L_n$ be the Lie algebra generated by the Kirchhoff differences $\varkappa_{ij}$ in the group algebra $\mathbb C[S_n]$, with $1\leq i<j\leq n$. Generation conjecture.…

Let $\mathcal{M}$ be a regular matroid and let $M$ be a unimodular $m \times n$ representation of $\mathcal{M}$ with corank greater than $1$. Let $L$ denote the associated matrix w…