{
  "abstract": "We study the quantum $K$-theory of the flag variety $G/B$. For each minuscule fundamental weight $\\varpi$, we construct an explicit relation in the torus-equivariant quantum $K$-theory $QK_T(G/B)$. The relation can be regarded as a quantum deformation of the character of the irreducible representation with highest weight $\\varpi$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.21360",
  "author_total": 5,
  "authors": [
    {
      "name": "Koushik Brahma"
    },
    {
      "name": "Yicen Huang"
    },
    {
      "name": "Takeshi Ikeda"
    },
    {
      "name": "Takafumi Kouno"
    },
    {
      "name": "Kohei Yamaguchi"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7fs96mg7swzth.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.21360",
  "fulltext_url": null,
  "id": "7fs96mg7swzth",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.21360",
  "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.AG"
    ],
    [
      "arxiv",
      "math.QA"
    ],
    [
      "arxiv",
      "math.RT"
    ],
    [
      "openalex",
      "2608|Algebraic structures and combinatorial models"
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  ],
  "openalex": "W7213935749",
  "pdf_url": "https://arxiv.org/pdf/2609.21360",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-18",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/7fs96mg7swzth.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:07Z",
      "native_id": "2609.21360",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.21360"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Minuscule Relations in Quantum $K$-Theory of Flag Varieties",
  "title_text": "Minuscule Relations in Quantum K-Theory of Flag Varieties",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:07Z",
  "url": "https://research.draconitic.com/paper/7fs96mg7swzth",
  "venue": "arXiv",
  "versions": []
}