{
  "id": "2405.16786",
  "version": "v1",
  "published": "2024-05-27T03:17:22.000Z",
  "updated": "2024-05-27T03:17:22.000Z",
  "title": "Fractal behavior of tensor powers of the two dimensional space in prime characteristic",
  "authors": [
    "Kevin Coulembier",
    "Pavel Etingof",
    "Victor Ostrik",
    "Daniel Tubbenhauer"
  ],
  "comment": "40 pages, many figures, comments welcome",
  "categories": [
    "math.RT",
    "math.CT",
    "math.RA"
  ],
  "abstract": "We study the number of indecomposable summands in tensor powers of the vector representation of SL2. Our main focus is on positive characteristic where this sequence of numbers and its generating function show fractal behavior akin to Mahler functions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-05-27T03:17:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11N45",
      "18M05",
      "11B85",
      "26A12",
      "30B30"
    ],
    "keywords": [
      "tensor powers",
      "dimensional space",
      "prime characteristic",
      "fractal behavior akin",
      "mahler functions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 40,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}