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arXiv · 2309.10709

Demazure crystal structure for flagged reverse plane partitions

Siddheswar Kundu
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Abstract

Given a skew shape $ λ/ μ$ and a flag $Φ,$ we show that the set of all flagged reverse plane partitions of shape $λ/ μ$ and flag $Φ$ is a disjoint union of Demazure crystals (up to isomorphism). As a result, the flagged dual stable Grothendieck polynomial $ g_{λ/μ}(X_Φ)$ is shown to be key positive.

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Siddheswar Kundu. 2023-09-29. Demazure crystal structure for flagged reverse plane partitions. https://arxiv.org/abs/2309.10709

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