{
  "id": "1903.01750",
  "version": "v1",
  "published": "2019-03-05T09:56:45.000Z",
  "updated": "2019-03-05T09:56:45.000Z",
  "title": "Tensor product of correspondence functors",
  "authors": [
    "Serge Bouc",
    "Jacques Thévenaz"
  ],
  "categories": [
    "math.RT",
    "math.CO",
    "math.CT",
    "math.RA"
  ],
  "abstract": "As part of the study of correspondence functors, the present paper investigates their tensor product and proves some of its main properties. In particular, the correspondence functor associated to a finite lattice has the structure of a commutative algebra in the tensor category of all correspondence functors.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-03-05T09:56:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "06B05",
      "06B15",
      "06D05",
      "06D50",
      "16B50",
      "18B05",
      "18B10",
      "18B35",
      "18E05"
    ],
    "keywords": [
      "correspondence functor",
      "tensor product",
      "main properties",
      "finite lattice"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}