3 problems

Let $D$ be a demazure diagram, meaning a finite cell diagram satisfying the demazure condition described in the paper, and let ${\mathfrak K}_D$ denote its Kohnert polynomial. The…

Let $w\in S_n$, let $\operatorname{Rothe}(w)$ be the Rothe diagram of $w$, and generate diagrams $D$ from it using the $K$-Kohnert rule, in which each $+$ either moves according to…

Let $\alpha$ be a weak composition, let $J_{\alpha}^{(\beta)}$ be the generating function for diagrams produced from $\operatorname{Skyline}(\alpha)$ by the $K$-Kohnert rule, with…