{
  "id": "2101.05550",
  "version": "v1",
  "published": "2021-01-14T11:15:41.000Z",
  "updated": "2021-01-14T11:15:41.000Z",
  "title": "Some homological properties of category $\\mathcal{O}$, VI",
  "authors": [
    "Hankyung Ko",
    "Volodymyr Mazorchuk",
    "Rafael Mrđen"
  ],
  "categories": [
    "math.RT"
  ],
  "abstract": "This paper explores various homological regularity phenomena (in the sense of Auslander) in category $\\mathcal{O}$ and its several variations and generalizations. Additionally, we address the problem of determining projective dimension of twisted and shuffled projective and tilting modules.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-01-14T11:15:41.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "homological properties",
      "homological regularity phenomena",
      "variations",
      "generalizations",
      "determining projective dimension"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}