{
  "abstract": "Building on the recently established de Sitter (dS)-covariant indecomposable Krein realization of the scalar discrete-series unitary irreducible representations $Π_{p,0}$, $p=1,2,\\cdots$, of $\\mathrm{SO}_0(1,4)$, naturally organized into a Gupta-Bleuler triplet, we uncover its underlying Araki-cohomological structure. We show that the Krein-Gupta-Bleuler construction provides a concrete realization of Araki's standard Gupta-Bleuler triplet, with its non-split indecomposable structure encoded by non-trivial first cohomology classes related by adjunction. We further show that the reducible intermediate sector naturally resolves into its two irreducible components, inducing a corresponding decomposition of the extension classes and yielding a four-layer refinement of Araki's standard triplet. The resulting Gupta-Bleuler quadruplet provides a finer cohomological resolution, distinguishing the physical representation from its complex-conjugate sector.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.07090",
  "author_total": 4,
  "authors": [
    {
      "name": "Maryam Bajalan"
    },
    {
      "name": "Jean-Pierre Gazeau"
    },
    {
      "name": "Hamed Pejhan"
    },
    {
      "name": "Petr Siegl"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/dkbwm7z5c6r80.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.07090",
  "fulltext_url": null,
  "id": "dkbwm7z5c6r80",
  "issns": [],
  "landing_url": "https://hal.science/hal-05829805v1",
  "language": "en",
  "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-ph"
    ],
    [
      "arxiv",
      "math.MP"
    ],
    [
      "arxiv",
      "math.RT"
    ],
    [
      "hal",
      "0.phys"
    ],
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      "hal",
      "1.phys.mphy"
    ],
    [
      "openalex",
      "2610|Advanced Operator Algebra Research"
    ]
  ],
  "openalex": "W7220960206",
  "pdf_url": "https://arxiv.org/pdf/2610.07090",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-05",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/dkbwm7z5c6r80.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:00Z",
      "native_id": "hal-05829805",
      "source": "hal",
      "url": "https://hal.science/hal-05829805v1"
    },
    {
      "first_seen": "2026-10-30T12:27:22Z",
      "native_id": "2610.07090",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.07090"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.RT",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "physics",
      "origin": "hal:0.phys",
      "subfield": "general"
    }
  ],
  "title": "Araki Cohomology of the de Sitter Scalar Discrete Series",
  "title_text": "Araki Cohomology of the de Sitter Scalar Discrete Series",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:26Z",
  "url": "https://research.draconitic.com/paper/dkbwm7z5c6r80",
  "venue": "HAL",
  "versions": []
}