{
  "id": "2401.05816",
  "version": "v1",
  "published": "2024-01-11T10:31:52.000Z",
  "updated": "2024-01-11T10:31:52.000Z",
  "title": "Decomposition numbers for weight 3 blocks of Iwahori--Hecke algebras of type B",
  "authors": [
    "Matthew Fayers",
    "Lorenzo Putignano"
  ],
  "categories": [
    "math.RT"
  ],
  "abstract": "Let B be a weight-$3$ block of an Iwahori--Hecke algebra of type B over any field. We develop the combinatorics of B to prove that the decomposition numbers for B are all 0 or 1.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-01-11T10:31:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20C08",
      "20C30",
      "05E10"
    ],
    "keywords": [
      "decomposition numbers",
      "iwahori-hecke algebra",
      "combinatorics"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}