{
  "abstract": "We establish a multiplicity-one refinement of the non-archimedean type-II Howe correspondence: whenever the small theta lift is non-zero, it occurs in the big theta lift with Jordan-Hölder multiplicity one. Furthermore, we apply this result alongside the Godement-Jacquet zeta integral to compute big theta lift for Arthur-type representations. Based on these computations, we also propose a conjecture regarding the irreducibility of the big theta lift.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.39683",
  "author_total": 1,
  "authors": [
    {
      "name": "Kaidi Wu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2e5x4pkyjsthf.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.39683",
  "fulltext_url": null,
  "id": "2e5x4pkyjsthf",
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  "landing_url": "https://arxiv.org/abs/2609.39683",
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  "licence_label": "arXiv licence",
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  "native_subjects": [
    [
      "arxiv",
      "math.NT"
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      "arxiv",
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      "openalex",
      "2610|Advanced Algebra and Geometry"
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  "pdf_url": "https://arxiv.org/pdf/2609.39683",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-30",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2e5x4pkyjsthf.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:49Z",
      "native_id": "2609.39683",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.39683"
    }
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  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NT",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "On Irreducibility and Multiplicity One Property for Non-Archimedean Type-II Theta Lifting",
  "title_text": "On Irreducibility and Multiplicity One Property for Non-Archimedean Type-II Theta Lifting",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:49Z",
  "url": "https://research.draconitic.com/paper/2e5x4pkyjsthf",
  "venue": "arXiv",
  "versions": []
}