{
  "abstract": "In various special cases, we provide an alternative argument for equivalence between Kostant positivity of some involutions in type $A$ and the conjunction of the categorical Kåhrstr{ö}m's condition for these involutions with indecomposability of the images of the corresponding simple modules in category $\\mathcal{O}$ under projective functors.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.12892",
  "author_total": 2,
  "authors": [
    {
      "name": "Hankyung Ko"
    },
    {
      "name": "Volodymyr Mazorchuk"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/6j3ygyb8y22dy.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.12892",
  "fulltext_url": null,
  "id": "6j3ygyb8y22dy",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.12892",
  "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.RT"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.12892",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/6j3ygyb8y22dy.ris",
  "sources": [
    {
      "first_seen": "2026-11-11T06:21:55Z",
      "native_id": "2611.12892",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.12892"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.RT",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Addendum and Corrigendum to: Some homological properties of category $\\mathcal{O}$, V",
  "title_text": "Addendum and Corrigendum to: Some homological properties of category 𝒪, V",
  "type": "preprint",
  "updated_at": "2026-11-13T06:20:11Z",
  "url": "https://research.draconitic.com/paper/6j3ygyb8y22dy",
  "venue": "arXiv",
  "versions": []
}