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Assaf–Searles' conjecture on southwest diagrams and Demazure characters
Assaf–Searles' conjecture. Given a southwest diagram $D$ , the Kohnert polynomial ${\mathfrak{K}}_D$ expands non-negatively into Demazure characters.
Conjectureopencombinatorial-algebra demazure-characters kohnert-polynomialsarXiv posted 2 days ago
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Nonnegative Demazure-character expansion for Kohnert polynomials of Demazure diagrams
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…
Conjecturerefutedcombinatorics demazure-characters kohnert-polynomialsarXiv posted 2 days ago

Assaf–Searles' conjecture on southwest diagrams and Demazure characters