{
  "id": "math/0203277",
  "version": "v2",
  "published": "2002-03-27T00:46:19.000Z",
  "updated": "2002-08-01T17:33:25.000Z",
  "title": "Affine Kac-Moody Lie algebras as torsors over the punctured line",
  "authors": [
    "A. Pianzola"
  ],
  "comment": "8 pages Corrected some typos and changed some notation. Minor generalization of one result",
  "categories": [
    "math.RT"
  ],
  "abstract": "We interpret and develop a theory of loop algebras as torsors (principal homogeneous spaces) over Laurent polynomial rings . As an application, we recover Kac's realization of affine Kac-Moody Lie algebras.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2002-08-01T17:33:25.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "affine kac-moody lie algebras",
      "punctured line",
      "laurent polynomial rings",
      "loop algebras",
      "principal homogeneous spaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math......3277P"
    }
  }
}