{
  "id": "1506.01485",
  "version": "v1",
  "published": "2015-06-04T07:22:04.000Z",
  "updated": "2015-06-04T07:22:04.000Z",
  "title": "Highest weight categories and recollements",
  "authors": [
    "Henning Krause"
  ],
  "comment": "26 pages",
  "categories": [
    "math.RT",
    "math.AG",
    "math.RA"
  ],
  "abstract": "We provide several equivalent descriptions of a highest weight category using recollements of abelian categories. The settings for this are abelian length categories and $k$-linear exact categories, where $k$ denotes any commutative base ring. Also, we discuss Ringel duality and establish a precise connection with Serre duality.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-06-04T07:22:04.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "highest weight category",
      "recollements",
      "abelian length categories",
      "linear exact categories",
      "equivalent descriptions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150601485K"
    }
  }
}