{
  "abstract": "In this paper, we build a Demazure crystal structure on the set of all flagged set-valued reverse plane partitions of a given skew shape $λ/μ$ and flag $Φ$. Our construction provides a unified generalization of the Demazure crystal structures previously known for the set of all flagged semi-standard set-valued tableaux and the set of all flagged reverse plane partitions. Consequently, we obtain a combinatorial expansion for the flagged hybrid Grothendieck polynomial $H_{λ/μ}(\\mathbf{x}_Φ;\\mathbf{t};\\mathbf{w})$, introduced by Guo--Kang--Liu, in terms of key polynomials. Applying this expansion, we express the hybrid Grothendieck polynomial $H_{λ/μ}(\\mathbf{x};\\mathbf{t};\\mathbf{w})$ in terms of both the stable Grothendieck polynomials $G_ν(\\mathbf{x})$ and the dual stable Grothendieck polynomials $g_ν(\\mathbf{x})$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.18151",
  "author_total": 1,
  "authors": [
    {
      "name": "Siddheswar Kundu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/59k3sek3bxth9.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.18151",
  "fulltext_url": null,
  "id": "59k3sek3bxth9",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.18151",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.CO"
    ],
    [
      "openalex",
      "2607|Advanced Combinatorial Mathematics"
    ]
  ],
  "openalex": "W7213517716",
  "pdf_url": "https://arxiv.org/pdf/2609.18151",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-16",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/59k3sek3bxth9.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:22:04Z",
      "native_id": "2609.18151",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.18151"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    }
  ],
  "title": "Demazure crystals for flagged set-valued reverse plane partitions",
  "title_text": "Demazure crystals for flagged set-valued reverse plane partitions",
  "type": "preprint",
  "updated_at": "2026-10-30T12:22:04Z",
  "url": "https://research.draconitic.com/paper/59k3sek3bxth9",
  "venue": "arXiv",
  "versions": []
}