{
  "id": "2210.04419",
  "version": "v2",
  "published": "2022-10-10T03:32:02.000Z",
  "updated": "2024-02-16T00:59:58.000Z",
  "title": "Gluing simple-minded collections in triangulated categories",
  "authors": [
    "Yongliang Sun",
    "Yaohua Zhang"
  ],
  "comment": "23 pages",
  "journal": "J. Alg., 2024, 645:54-85",
  "doi": "10.1016/j.jalgebra.2024.01.032",
  "categories": [
    "math.RT",
    "math.CT"
  ],
  "abstract": "We provide a technique to glue simple-minded collections along a recollement of Hom-finite Krull-Schmidt triangulated categories over a field. This gluing technique for simple-minded collections is shown to be compatible with those for gluing bounded $t$-structures, silting objects, and co-$t$-structures in the literature. Furthermore, it also enjoys the properties of preserving partial order and commuting with the operation of mutation.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2024-02-16T00:59:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "18G80",
      "16E35"
    ],
    "keywords": [
      "gluing simple-minded collections",
      "hom-finite krull-schmidt triangulated categories",
      "glue simple-minded collections",
      "structures",
      "preserving partial order"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Elsevier"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}