{
  "abstract": "Let $\\mathfrak{g}$ be a finite-dimensional simple Lie algebra of type $B$ or $C$ over ${\\mathbb C}$. Given $κ\\in{\\mathbb C}$, let $V^κ(\\mathfrak{g})$ be the universal affine vertex algebra associated with $\\mathfrak{g}$ at level $κ$. We characterize the weights of minimal singular vectors of $V^κ(\\mathfrak{g})$ with respect to the generalized Cartan matrix, when $V^κ(\\mathfrak{g})$ is not simple and $κ$ is not critical. Furthermore, we determine the corresponding longest Weyl elements in the Kashiwara-Tanisaki character theorem of the singular vectors.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.07917",
  "author_total": 2,
  "authors": [
    {
      "name": "Cuipo Jiang"
    },
    {
      "name": "Tong Wu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/f1959vc19p68t.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.07917",
  "fulltext_url": null,
  "id": "f1959vc19p68t",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.07917",
  "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.QA"
    ],
    [
      "arxiv",
      "math.RT"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.07917",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-05",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/f1959vc19p68t.ris",
  "sources": [
    {
      "first_seen": "2026-11-06T18:21:34Z",
      "native_id": "2611.07917",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.07917"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.QA",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "On minimal singular vectors of $V^κ(\\mathfrak{g})$ for types $B$ and $C$",
  "title_text": "On minimal singular vectors of V^κ(g) for types B and C",
  "type": "preprint",
  "updated_at": "2026-11-09T00:20:48Z",
  "url": "https://research.draconitic.com/paper/f1959vc19p68t",
  "venue": "arXiv",
  "versions": []
}