{
  "id": "1704.03984",
  "version": "v1",
  "published": "2017-04-13T03:30:15.000Z",
  "updated": "2017-04-13T03:30:15.000Z",
  "title": "Extensions of modules for twisted current algebras",
  "authors": [
    "Jean Auger",
    "Michael Lau"
  ],
  "comment": "23 pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "Twisted current algebras are fixed point subalgebras of current algebras under a finite group action. Special cases include equivariant map algebras and twisted forms of current algebras. We compute the extensions between any pair of simple modules in the category of finite-dimensional modules over a twisted current algebra, and then use this information to determine the block decomposition of the category. We illustrate our results with an application to twisted forms of current algebras.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-04-13T03:30:15.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "twisted current algebra",
      "extensions",
      "equivariant map algebras",
      "finite group action",
      "twisted forms"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}