{
  "id": "2008.03199",
  "version": "v1",
  "published": "2020-08-07T14:30:33.000Z",
  "updated": "2020-08-07T14:30:33.000Z",
  "title": "On abelian subcategories of triangulated categories",
  "authors": [
    "Markus Linckelmann"
  ],
  "categories": [
    "math.RT",
    "math.CT"
  ],
  "abstract": "The stable module category of a selfinjective algebra is triangulated, but need not have any nontrivial $t$-structures, and in particular, full abelian subcategories need not arise as hearts of a $t$-structure. The purpose of this paper is to investigate full abelian subcategories of triangulated categories whose exact structures are related, and more precisely, to explore relations between invariants of finite-dimensional selfinjective algebras and full abelian subcategories of their stable module categories.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-08-07T14:30:33.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "triangulated categories",
      "full abelian subcategories",
      "stable module category",
      "exact structures",
      "finite-dimensional selfinjective algebras"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}