{
  "id": "1406.1155",
  "version": "v3",
  "published": "2014-06-04T19:22:44.000Z",
  "updated": "2016-09-23T17:46:34.000Z",
  "title": "Singular blocks of restricted sl3",
  "authors": [
    "Matthew Towers"
  ],
  "categories": [
    "math.RT"
  ],
  "abstract": "We compute generators and relations for the basic algebra of a non-semisimple singular block of the restricted enveloping algebra of $\\mathfrak{sl}_3$ over an algebraically closed field of characteristic $p>3$. Working directly with the basic algebra we compute its centre and the internal degree zero part of its first Hochschild cohomology, and show its Verma modules are Koszul.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-06-12T17:20:22.000Z",
      "comment": null,
      "journal": null,
      "doi": null
    },
    {
      "version": "v3",
      "updated": "2016-09-23T17:46:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B35"
    ],
    "keywords": [
      "restricted sl3",
      "basic algebra",
      "internal degree zero part",
      "non-semisimple singular block",
      "first hochschild cohomology"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1406.1155T"
    }
  }
}