{
  "id": "2004.09692",
  "version": "v1",
  "published": "2020-04-21T00:52:09.000Z",
  "updated": "2020-04-21T00:52:09.000Z",
  "title": "Modular Terwilliger algebras of association schemes",
  "authors": [
    "Akihide Hanaki"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "We define modular Terwilliger algebras of association schemes, Terwilliger algebras over a positive characteristic field, and consider basic properties. We give a condition for the modular Terwilliger algebra to be non-semisimple. We show that the dimension of a Terwilliger algebra of a Johnson scheme depends on the characteristic of the coefficient field. We also give some other examples.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-04-21T00:52:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05E30"
    ],
    "keywords": [
      "association schemes",
      "define modular terwilliger algebras",
      "basic properties",
      "positive characteristic field",
      "coefficient field"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}