{
  "annotation_id": "2815f761-7c82-4dd1-afdb-f4f6e609ea0b",
  "date_created": "2026-03-02T18:01:28.074000Z",
  "date_modified": "2026-03-02T18:01:28.074000Z",
  "file_hash": "aca61f12e13afc6e36b846dfa7a171720a414dbd5f9c727c0ba83ef5c4975c48",
  "private": false,
  "record": {
    "abstract": "We study a finite-dimensional quotient of the Hecke algebra of type $H_n$ for\ngeneral $n$, using a calculus of diagrams. This provides a basis of monomials\nin a certain set of generators. Using this, we prove a conjecture of C.K. Fan\nabout the semisimplicity of the quotient algebra. We also discuss the cellular\nstructure of the algebra, with certain restrictions on the ground ring.",
    "arxiv_id": "q-alg/9712019",
    "authors": [
      "R. M. Green"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "title": "Cellular algebras arising from Hecke algebras of type H_n",
    "url": "https://arxiv.org/abs/q-alg/9712019"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "be04a2ee-948f-4ebb-85b2-264d7323bd8e",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}