{
  "id": "2310.16666",
  "version": "v1",
  "published": "2023-10-25T14:28:48.000Z",
  "updated": "2023-10-25T14:28:48.000Z",
  "title": "Tate Duality and Transfer for Symmetric Algebras Over Complete Discrete Valuation Rings",
  "authors": [
    "Markus Linckelmann"
  ],
  "categories": [
    "math.RT",
    "math.RA"
  ],
  "abstract": "We show that dualising transfer maps in Hochschild cohomology of symmetric algebras over complete discrete valuations rings commutes with Tate duality. This is analogous to a similar result for Tate cohomology of symmetric algebras over fields. We interpret both results in the broader context of Calabi-Yau triangulated categories.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-10-25T14:28:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "18G65",
      "16E40"
    ],
    "keywords": [
      "complete discrete valuation rings",
      "symmetric algebras",
      "tate duality",
      "complete discrete valuations rings commutes",
      "calabi-yau triangulated categories"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}