{
  "id": "1007.3282",
  "version": "v1",
  "published": "2010-07-19T21:03:28.000Z",
  "updated": "2010-07-19T21:03:28.000Z",
  "title": "On a common generalization of Koszul duality and tilting equivalence",
  "authors": [
    "Dag Madsen"
  ],
  "categories": [
    "math.RT"
  ],
  "abstract": "We propose a new definition of Koszulity for graded algebras where the degree zero part has finite global dimension, but is not necessarily semi-simple. The standard Koszul duality theorems hold in this setting. We give an application to algebras arising from multiplicity free blocks of the BGG category $\\mathcal O$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-07-19T21:03:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "16W50",
      "16S37",
      "18E30"
    ],
    "keywords": [
      "common generalization",
      "tilting equivalence",
      "standard koszul duality theorems hold",
      "finite global dimension",
      "degree zero part"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 862184,
      "adsabs": "2010arXiv1007.3282M"
    }
  }
}