{
  "id": "2006.06472",
  "version": "v1",
  "published": "2020-06-10T08:00:15.000Z",
  "updated": "2020-06-10T08:00:15.000Z",
  "title": "Higher Auslander's formula",
  "authors": [
    "Ramin Ebrahimi",
    "Alireza Nasr-Isfahani"
  ],
  "comment": "arXiv admin note: text overlap with arXiv:2001.01254",
  "categories": [
    "math.RT",
    "math.CT"
  ],
  "abstract": "Let $\\mathcal{M}$ be a small $n$-abelian category. We show that the category of finitely presented functors $mod$-$\\mathcal{M}$ modulo the subcategory of effaceable functors $mod_0$-$\\mathcal{M}$ has an $n$-cluster tilting subcategory which is equivalent to $\\mathcal{M}$. This gives a higher-dimensional version of Auslander's formula.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-06-10T08:00:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "18E10",
      "18E20",
      "18E99"
    ],
    "keywords": [
      "higher auslanders formula",
      "higher-dimensional version",
      "cluster tilting subcategory",
      "abelian category",
      "effaceable functors"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}