2 problems

Let $L(m,n)$ be the minuscule lattice of partitions contained in an $m$ by $n$ box, and let $\#\operatorname{SCD}(L(m,n))$ denote the number of symmetric chain decompositions of th…

For $n\in\mathbb{N}$, define … These are the minuscule polynomials of type A. Bourn–Erickson's real-rootedness conjecture. The polynomial $N_n(x)$ has only real zeros for each…