{
  "id": "2411.16432",
  "version": "v1",
  "published": "2024-11-25T14:36:59.000Z",
  "updated": "2024-11-25T14:36:59.000Z",
  "title": "Langlands Duality and Invariant Differential Operators",
  "authors": [
    "V. K. Dobrev"
  ],
  "comment": "21 pages, 2 figures. arXiv admin note: text overlap with arXiv:1311.7557, arXiv:1208.0409, arXiv:1412.8038",
  "categories": [
    "math.RT",
    "hep-th",
    "math-ph",
    "math.MP",
    "math.QA"
  ],
  "abstract": "Langlands duality 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. In this paper we start building the bridge between the two programs.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-11-25T14:36:59.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "invariant differential operators",
      "langlands duality",
      "semisimple lie groups",
      "harish-chandras representation theory",
      "influential subtopics"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}