{
  "id": "1511.08348",
  "version": "v1",
  "published": "2015-11-26T10:40:55.000Z",
  "updated": "2015-11-26T10:40:55.000Z",
  "title": "Singular Hochschild Cohomology of Radical Square Zero Algebras",
  "authors": [
    "Zhengfang Wang"
  ],
  "comment": "42 pages",
  "categories": [
    "math.RT",
    "math.KT",
    "math.RA"
  ],
  "abstract": "Following the approach developed by Cibils and S\\'{a}nchez for ordinary Hochschild cohomology, we compute the singular Hochschild cohomology of radical square zero algebras. We show that the singular Hochschild cohomology of radical square zero algebras has a very combinatorial structure. A PROP interpretation for the Gerstenhaber bracket is given in the case of radical square zero algebras. This interpretation allows us to completely determine the Gerstenhaber algebra structures for several examples.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-11-26T10:40:55.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "radical square zero algebras",
      "singular hochschild cohomology",
      "gerstenhaber algebra structures",
      "ordinary hochschild cohomology",
      "combinatorial structure"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 42,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}