{
  "abstract": "We study iYangians, namely twisted Yangians in the Drinfeld current presentation, associated with quasi-split symmetric pairs of type $\\mathsf{ADE}$ with nontrivial diagram involution. We establish minimalistic presentations in terms of degree-zero and degree-one generators. Type $\\mathsf A_{2n}$ is treated separately: the isolated rank-two case requires two additional relations, whereas in higher rank these relations are forced by the neighboring noncentral orbit. As a by-product, we strengthen Theorem 3.1 in arxiv:2511.07136 by proving that the extra relation in the minimalistic presentation of split iYangian is redundant whenever $\\mathfrak g$ has rank at least two. We also construct explicit injective homomorphisms from quasi-split iYangians into Yangians, identify their images as right coideal subalgebras, and obtain isomorphisms between the Drinfeld and $J$ presentations. Finally, we derive triangular estimates for the Drinfeld currents and their coproducts and apply them to the ${}^\\imath\\ell$-weights arising by restriction from finite-dimensional Yangian modules.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.08269",
  "author_total": 2,
  "authors": [
    {
      "name": "Binhe Huang"
    },
    {
      "name": "Kang Lu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1drp49hyvhp0t.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.08269",
  "fulltext_url": null,
  "id": "1drp49hyvhp0t",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.08269",
  "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.QA"
    ],
    [
      "arxiv",
      "math.RT"
    ],
    [
      "openalex",
      "2608|Algebraic structures and combinatorial models"
    ]
  ],
  "openalex": "W7212027722",
  "pdf_url": "https://arxiv.org/pdf/2609.08269",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-08",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/1drp49hyvhp0t.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:19:58Z",
      "native_id": "2609.08269",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.08269"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.QA",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Quasi-split iYangians: minimalistic presentations and coideal structures",
  "title_text": "Quasi-split iYangians: minimalistic presentations and coideal structures",
  "type": "preprint",
  "updated_at": "2026-10-30T12:19:58Z",
  "url": "https://research.draconitic.com/paper/1drp49hyvhp0t",
  "venue": "arXiv",
  "versions": []
}