{
  "abstract": "We adapt techniques used in the study of the cubic Dirac operator on homogeneous reductive spaces to Dolbeault operators on elliptic coadjoint orbits. We prove that cohomologically induced representations have an infinitesimal character, that cohomological induction and Zuckerman translation functor commute and we give a geometric interpretation of the Zuckerman translation functor for cohomologically induced representations .",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "name": "Nicolas Prudhon"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/b0w21agdd78bm.bib",
  "cited_by": 0,
  "doi": "10.5802/jolt.1095",
  "fulltext_url": null,
  "id": "b0w21agdd78bm",
  "issns": [
    "0949-5932"
  ],
  "landing_url": "https://hal.science/hal-05781989v1",
  "language": "en",
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "hal",
      "0.math"
    ],
    [
      "openalex",
      "2610|Advanced Algebra and Geometry"
    ]
  ],
  "openalex": "W7140910594",
  "pdf_url": "https://hal.science/hal-05781989/document",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-06",
  "publisher": "Heldermann Verlag",
  "ris": "https://research.draconitic.com/paper/b0w21agdd78bm.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:49Z",
      "native_id": "hal-05781989",
      "source": "hal",
      "url": "https://hal.science/hal-05781989v1"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "openalex:2610|Advanced Algebra and Geometry",
      "subfield": "mathematical-physics"
    }
  ],
  "title": "Translation of Dolbeault Representations",
  "title_text": "Translation of Dolbeault Representations",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T12:17:49Z",
  "url": "https://research.draconitic.com/paper/b0w21agdd78bm",
  "venue": "Journal of Lie Theory",
  "versions": []
}