{
  "id": "2403.19814",
  "version": "v1",
  "published": "2024-03-28T19:49:30.000Z",
  "updated": "2024-03-28T19:49:30.000Z",
  "title": "Endomorphism Algebras of Equivariant Exceptional Collections",
  "authors": [
    "Andreas Krug",
    "Erik Nikolov"
  ],
  "categories": [
    "math.RT",
    "math.AG",
    "math.CT"
  ],
  "abstract": "Given an action of a finite group on a triangulated category with a suitable strong exceptional collection, a construction of Elagin produces an associated strong exceptional collection on the equivariant category. We prove that the endomorphism algebra of the induced exceptional collection is the basic reduction of the skew group algebra of the endomorphism algebra of the original exceptional collection.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-03-28T19:49:30.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "endomorphism algebra",
      "equivariant exceptional collections",
      "associated strong exceptional collection",
      "original exceptional collection",
      "suitable strong exceptional collection"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}