{
  "id": "math/9809024",
  "version": "v1",
  "published": "1998-09-06T04:20:31.000Z",
  "updated": "1998-09-06T04:20:31.000Z",
  "title": "Gröbner-Shirshov Bases for Lie Superalgebras and Their Universal Enveloping Algebras",
  "authors": [
    "Leonid A. Bokut",
    "Seok-Jin Kang",
    "Kyu-Hwan Lee",
    "Peter Malcolmson"
  ],
  "comment": "36 pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "We show that a set of monic polynomials in the free Lie superalgebra is a Gr\\\"obner-Shirshov basis for a Lie superalgebra if and only if it is a Gr\\\"obner-Shirshov basis for its universal enveloping algebra. We investigate the structure of Gr\\\"obner-Shirshov bases for Kac-Moody superalgebras and give explicit constructions of Gr\\\"obner-Shirshov bases for classical Lie superalgebras.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1998-09-06T04:20:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17A70"
    ],
    "keywords": [
      "universal enveloping algebra",
      "gröbner-shirshov bases",
      "free lie superalgebra",
      "explicit constructions",
      "kac-moody superalgebras"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 36,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1998math......9024B"
    }
  }
}