{
  "id": "1109.6637",
  "version": "v1",
  "published": "2011-09-29T19:42:35.000Z",
  "updated": "2011-09-29T19:42:35.000Z",
  "title": "Cohomology and support varieties for Lie superalgebras",
  "authors": [
    "Irfan Bagci"
  ],
  "categories": [
    "math.RT"
  ],
  "abstract": "Let $mathfrak{g}$ be a restricted Lie superalgebra over an algebraically closed field $k$ of characteristic $p>2$. Let $\\mathfrak{u}(\\mathfrak{g})$ denote the restricted enveloping algebra of $\\mathfrak{g}$. In this paper we prove that the cohomology ring $\\HH^\\bullet(\\fu(\\fg), k)$ is finitely generated. This allows one to define support varieties for finite dimensional $\\fu(\\fg)$-supermodules. We also show that support varieties for finite dimensional $\\fu(\\fg)$ supermodules satisfy the desirable properties of support variety theory.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-09-29T19:42:35.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "cohomology",
      "finite dimensional",
      "define support varieties",
      "support variety theory",
      "supermodules satisfy"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1109.6637B"
    }
  }
}