4 problems

Let $\alpha,\beta\in\mathbb{N}^m$, let $\kappa_\alpha$ and $\kappa_\beta$ be Demazure characters, and let $\mathcal{A}_\gamma$ denote the Demazure atom indexed by $\gamma$. Pun's c…

Let $\alpha,\beta\in\mathbb{N}^m$, and let $\kappa_\alpha$ and $\kappa_\beta$ be Demazure characters. For a lower order ideal $\Gamma\subset\mathbb{N}^m$, let $\kappa_\Gamma$ be th…

Flagged Schur module character conjecture. For every northwest diagram $D$,

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…