{
  "abstract": "We study the extension groups between one $\\rm K$-type representations of the graded Hecke algebra $\\mathbb H$. A one $\\rm K$-type representation is a Hermitian representation of $\\mbb H$ whose restriction to the Weyl group is irreducible. Using a Koszul-type resolution of $\\mathbb H$-modules, we reduce the computation of $\\operatorname{Ext}_{\\mathbb H}^j(X,Y)$ to a combinatorial count, yielding explicit formulas for the classical types and a computer computation for the exceptional types.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.04535",
  "author_total": 1,
  "authors": [
    {
      "name": "Quanyong Chen"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/0d1pbrwwc553e.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.04535",
  "fulltext_url": null,
  "id": "0d1pbrwwc553e",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.04535",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.RT"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.04535",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-03",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/0d1pbrwwc553e.ris",
  "sources": [
    {
      "first_seen": "2026-11-04T15:21:29Z",
      "native_id": "2611.04535",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.04535"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.RT",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "The Extension groups of one $\\rm K$-type representations of graded Hecke algebra",
  "title_text": "The Extension groups of one K-type representations of graded Hecke algebra",
  "type": "preprint",
  "updated_at": "2026-11-06T18:21:01Z",
  "url": "https://research.draconitic.com/paper/0d1pbrwwc553e",
  "venue": "arXiv",
  "versions": []
}