{
  "annotation_id": "526ed9bf-e34d-4c68-8682-df93163e8585",
  "date_created": "2026-03-02T18:01:25.095000Z",
  "date_modified": "2026-03-02T18:01:25.095000Z",
  "file_hash": "9f8d241d231c513fd0aef1f282025bde379188c43e8b513dfbe19aab02329a27",
  "private": false,
  "record": {
    "abstract": "In this paper, we initiate a study into the explicit construction of\nirreducible representations of the Hecke algebra $H_n(q)$ of type $A_{n-1}$ in\nthe non-generic case where $q$ is a root of unity. The approach is via the\nSpecht modules of $H_n(q)$ which are irreducible in the generic case, and\npossess a natural basis indexed by Young tableaux. The general framework in\nwhich the irreducible non-generic $H_n(q)$-modules are to be constructed is set\nup and, in particular, the full set of modules corresponding to two-part\npartitions is described. Plentiful examples are given.",
    "arxiv_id": "q-alg/9509006",
    "authors": [
      "T. A. Welsh"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "doi": "10.1007/BF01688823",
    "title": "Two-Rowed Hecke Algebra Representations at Roots of Unity",
    "url": "https://arxiv.org/abs/q-alg/9509006"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8b626af6-1604-4b60-8efc-a3c29ff250eb",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}