{
  "abstract": "Recently we started building a bridge between two cases of Langlands duality. The latter is one of the most influential topics in mathematical research. It has many different appearances and influential subtopics. Yet there is a topic that until now seems unrelated to the Langlands program. That is the topic of invariant differential operators. That is strange since both items are deeply rooted in Harish-Chandra's representation theory of semisimple Lie groups. We started with the case of the group ~$SL(2n)$. In the present paper we deal with the group $SL(2n+1)$. The two mentioned groups are similar, but their representation theories is rather different.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": "Journal reference: Symmetry 2026, 18(10), 1743;",
  "arxiv": "2608.13400",
  "author_total": 1,
  "authors": [
    {
      "name": "V. K. Dobrev"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/c3kp1m6eyabnq.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.13400",
  "fulltext_url": null,
  "id": "c3kp1m6eyabnq",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.13400",
  "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",
      "hep-th"
    ],
    [
      "arxiv",
      "math-ph"
    ],
    [
      "arxiv",
      "math.MP"
    ],
    [
      "arxiv",
      "math.QA"
    ],
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      "arxiv",
      "math.RT"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2608.13400",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-17",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/c3kp1m6eyabnq.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:52Z",
      "native_id": "2608.13400",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.13400"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.QA",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Langlands Duality and Invariant Differential Operators: the Case SL(2n+1)",
  "title_text": "Langlands Duality and Invariant Differential Operators: the Case SL(2n+1)",
  "type": "preprint",
  "updated_at": "2026-11-04T15:20:51Z",
  "url": "https://research.draconitic.com/paper/c3kp1m6eyabnq",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.3390/sym18101743",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}