{
  "id": "1902.01252",
  "version": "v1",
  "published": "2019-02-04T15:27:25.000Z",
  "updated": "2019-02-04T15:27:25.000Z",
  "title": "Equivalent definitions for (degree one) Cameron-Liebler classes of generators in finite classical polar spaces",
  "authors": [
    "Jozefien D'haeseleer",
    "Maarten De Boeck"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "In this article, we study degree one Cameron-Liebler sets of generators in all finite classical polar spaces, which is a particular type of a Cameron-Liebler set of generators in this polar space, [9]. These degree one Cameron-Liebler sets are defined similar to the Boolean degree one functions, [15]. We summarize the equivalent definitions for these sets and give a classification result for the degree one Cameron-Liebler sets in the polar spaces W(5,q) and Q(6,q).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-02-04T15:27:25.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "finite classical polar spaces",
      "equivalent definitions",
      "cameron-liebler classes",
      "cameron-liebler set",
      "generators"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}