{
  "id": "2204.12268",
  "version": "v1",
  "published": "2022-04-26T12:47:38.000Z",
  "updated": "2022-04-26T12:47:38.000Z",
  "title": "Representations and cohomologies of Kleinian 4-rings",
  "authors": [
    "Yuriy A. Drozd"
  ],
  "comment": "13 pages",
  "categories": [
    "math.RT",
    "math.KT"
  ],
  "abstract": "We introduce a new class of algebras over discrete valuation rings, called Kleinian 4-rings, which generalize the group algebra of the Kleinian 4-group. For these algebras we describe the lattices and their cohomologies. In the case of regular lattices we obtain an explicit form of cocycles defining the cohomology classes.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-04-26T12:47:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "16E40",
      "16H20",
      "16G70"
    ],
    "keywords": [
      "representations",
      "discrete valuation rings",
      "cohomology classes",
      "explicit form",
      "group algebra"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}