{
  "id": "1107.4681",
  "version": "v2",
  "published": "2011-07-23T11:30:59.000Z",
  "updated": "2012-08-08T13:05:21.000Z",
  "title": "Affine.m - Mathematica package for computations in representation theory of finite-dimensional and affine Lie algebras",
  "authors": [
    "Anton Nazarov"
  ],
  "comment": "29 pages, 7 figures, updated to match published version",
  "journal": "Computer Physics Communications, Volume 183, Issue 11, November 2012, Pages 2480--2493",
  "doi": "10.1016/j.cpc.2012.06.014",
  "categories": [
    "math.RT",
    "hep-th"
  ],
  "abstract": "In this paper we present Affine.m - program for computations in representation theory of finite-dimensional and affine Lie algebras and describe implemented algorithms. Algorithms are based upon the properties of weights and Weyl symmetry. The most important problems for us are the ones, concerning computation of weight multiplicities in irreducible and Verma modules, branching of representations and tensor product decomposition. These problems have numerous applications in physics and we provide some examples of these applications. The program is implemented in popular computer algebra system Mathematica and works with finite-dimensional and affine Lie algebras.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-08-08T13:05:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B10",
      "17-04",
      "G.2.1",
      "G.4"
    ],
    "keywords": [
      "affine lie algebras",
      "representation theory",
      "mathematica package",
      "finite-dimensional",
      "computation"
    ],
    "tags": [
      "research tool",
      "journal article"
    ],
    "publication": {
      "publisher": "Elsevier",
      "journal": "Computer Physics Communications",
      "year": 2012,
      "month": "Nov",
      "volume": 183,
      "number": 11,
      "pages": 2480
    },
    "note": {
      "typesetting": "TeX",
      "pages": 29,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 919763,
      "adsabs": "2012CoPhC.183.2480N"
    }
  }
}