The coincidence of the Bruhat order and the secondary Bruhat order on $\mathcal{A}(n,k)$

Tao Zhang, Houyi Yu

Given a positive integer $n$ and a nonnegative integer $k$ with $k\le n$, we denote by $\mathcal{A}(n,k)$ the class of all $n$-by-$n$ $(0,1)$-matrices with constant row and column…