{
  "id": "2203.08664",
  "version": "v1",
  "published": "2022-03-16T14:52:36.000Z",
  "updated": "2022-03-16T14:52:36.000Z",
  "title": "Two relations for the antisymmetrizer in the Hecke algebra",
  "authors": [
    "Andrei Bytsko"
  ],
  "comment": "7 pages, LaTeX",
  "journal": "Zap.Nauchn.Semin. POMI 509 (2021) 89-98",
  "categories": [
    "math.RT",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We prove two relations for the antisymmetrizer in the Hecke algebra and derive certain restrictions imposed by these relations on unitary representations of the Hecke algebra on tensor powers of the space ${\\mathbb C}^n$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-03-16T14:52:36.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hecke algebra",
      "antisymmetrizer",
      "unitary representations"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}