{
  "id": "1205.4191",
  "version": "v1",
  "published": "2012-05-18T16:30:11.000Z",
  "updated": "2012-05-18T16:30:11.000Z",
  "title": "Finite-dimensional representations of twisted hyper loop algebras",
  "authors": [
    "Angelo Bianchi",
    "Adriano Moura"
  ],
  "categories": [
    "math.RT"
  ],
  "abstract": "We investigate the category of finite-dimensional representations of twisted hyper loop algebras, i.e., the hyperalgebras associated to twisted loop algebras over finite-dimensional simple Lie algebras. The main results are the classification of the irreducible modules, the definition of the universal highest-weight modules, called the Weyl modules, and, under a certain mild restriction on the characteristic of the ground field, a proof that the simple modules and the Weyl modules for the twisted hyper loop algebras are isomorphic to appropriate simple and Weyl modules for the non-twisted hyper loop algebras, respectively, via restriction of the action.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-05-18T16:30:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B10",
      "17B67",
      "14L17",
      "20G44"
    ],
    "keywords": [
      "finite-dimensional representations",
      "weyl modules",
      "finite-dimensional simple lie algebras",
      "universal highest-weight modules",
      "non-twisted hyper loop algebras"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1205.4191B"
    }
  }
}