{
  "abstract": "The group $G = SL(n+2,\\R)$ has a parabolic subgroup $P = MAN$ whose unipotent radical is a Heisenberg group. We study representations induced from a character of $P$, and using the Lie algebra action on the space of $K$-finite vectors we find the points of reducibility and the complementary series. We identify solutions to the conformally invariant systems of differential operators as subrepresentations.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.40102",
  "author_total": 1,
  "authors": [
    {
      "name": "Robin van Haastrecht"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/6ehx2tk2h3bxd.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.40102",
  "fulltext_url": null,
  "id": "6ehx2tk2h3bxd",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.40102",
  "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/2610.40102",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-29",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/6ehx2tk2h3bxd.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:36:32Z",
      "native_id": "2610.40102",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.40102"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.RT",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Induced representations from the Heisenberg parabolic subgroup of $SL(n+2,\\mathbb{R})$",
  "title_text": "Induced representations from the Heisenberg parabolic subgroup of SL(n+2,ℝ)",
  "type": "preprint",
  "updated_at": "2026-11-01T12:20:50Z",
  "url": "https://research.draconitic.com/paper/6ehx2tk2h3bxd",
  "venue": "arXiv",
  "versions": []
}