{
  "annotation_id": "b92a400e-26b4-4468-849d-92bba2b5341f",
  "date_created": "2026-03-02T18:01:28.814000Z",
  "date_modified": "2026-03-02T18:01:28.814000Z",
  "file_hash": "8d21f1059c964e3ae44308bb5606e0b05aa8189fd496b60dde429df1fbdb4cbf",
  "private": false,
  "record": {
    "abstract": "In this paper, we explore the use of path idempotents for the Hecke algebra\nof type $A$ at roots of unity. For $q$ a primitive $\\ell$-th root of unity we\nobain a non-unital imbedding of (a quotient of) the group algebra of $S_m$ into\n(a quotient of) the Hecke algebra $H_n(q)$ for certain $m$ and $n$. From this\nwe recover certain instances of irreducibility criteria of Dipper, James, and\nMathas, and we derive estimates on the decomposition numbers for the Hecke\nalgebra at roots of unity. The bounds are easily computed, provide a good\ngeometric picture of the pairs of diagrams $\\lambda$, $\\mu$ for which the\ndecomposition number $d_{\\lambda, \\mu}$ is non-zero, and also appers to be a\nuseful adjunct to the exact computation of the decomposition numbers.",
    "arxiv_id": "q-alg/9610033",
    "authors": [
      "Frederick M. Goodman",
      "Hans Wenzl"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "title": "Iwahori-Hecke algebras of type A at roots of unity",
    "url": "https://arxiv.org/abs/q-alg/9610033"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "21d90c9a-f9bf-49ef-bf57-71ef1cdedb8e",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}