{
  "abstract": "We establish a Serre-type presentation for $\\imath$quantum enveloping superalgebras arising from quantum supersymmetric pairs of type A. We first prove, in arbitrary type, that evaluating a quantum Serre polynomial on the coideal generators produces a correction of strictly smaller weight in the natural filtration using the projection technique. We then compute these remainder terms for all type A super Satake diagrams. In particular, we determine the new degree-four relations associated with isotropic odd simple roots of the relevant local Satake diagrams.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.02176",
  "author_total": 2,
  "authors": [
    {
      "name": "Weideng Cui"
    },
    {
      "name": "Yaolong Shen"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/5shmfk6p35yn7.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.02176",
  "fulltext_url": null,
  "id": "5shmfk6p35yn7",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.02176",
  "language": null,
  "licence": "CC0-1.0",
  "licence_label": "CC0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/publicdomain/zero/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.RT"
    ],
    [
      "openalex",
      "2608|Algebraic structures and combinatorial models"
    ]
  ],
  "openalex": "W7207778758",
  "pdf_url": "https://arxiv.org/pdf/2609.02176",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/5shmfk6p35yn7.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:20Z",
      "native_id": "2609.02176",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.02176"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.RT",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "A Serre-type presentation for $\\imath$quantum supergroups of type A",
  "title_text": "A Serre-type presentation for imathquantum supergroups of type A",
  "type": "preprint",
  "updated_at": "2026-10-30T12:18:20Z",
  "url": "https://research.draconitic.com/paper/5shmfk6p35yn7",
  "venue": "arXiv",
  "versions": []
}