{
  "id": "1303.7223",
  "version": "v3",
  "published": "2013-03-28T19:52:20.000Z",
  "updated": "2013-12-10T17:10:11.000Z",
  "title": "Integral bases for the universal enveloping algebras of map superalgebras",
  "authors": [
    "Irfan Bagci",
    "Samuel Chamberlin"
  ],
  "comment": "To appear in the Journal of Pure and Applied Algebra",
  "categories": [
    "math.RT",
    "math.RA"
  ],
  "abstract": "Let $\\mathfrak{g}$ be a finite dimensional complex simple classical Lie superalgebra and $A$ be a commutative, associative algebra with unity over $\\mathbb{C}$. In this paper we define an integral form for the universal enveloping algebra of the map superalgebra $\\mathfrak{g}\\otimes A$, and exhibit an explicit integral basis for this integral form.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2013-12-10T17:10:11.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "universal enveloping algebra",
      "map superalgebra",
      "integral bases",
      "dimensional complex simple classical",
      "complex simple classical lie superalgebra"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1303.7223B"
    }
  }
}