{
  "id": "math/0312199",
  "version": "v2",
  "published": "2003-12-10T02:17:42.000Z",
  "updated": "2004-01-31T23:43:11.000Z",
  "title": "Spectral Characters of Finite-Dimensional Representations of Affine Algebras",
  "authors": [
    "Vyjayanthi Chari",
    "Adriano Moura"
  ],
  "comment": "More concise proofs for Propositions 1.2 and 2.4 added. To appear in Journal of Algebra",
  "categories": [
    "math.RT"
  ],
  "abstract": "We introduce the notion of a spectral character for finite-dimensional representations of affine algebras. These can be viewed as a suitable q=1 limit of the elliptic characters defined by Etingof and Moura for quantum affine algebras. We show that these characters determine blocks of the category of finite-dimensional modules for affine algebras. To do this we use the Weyl modules defined by Chari and Pressley and some indecomposable reducible quotient of the Weyl modules.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2004-01-31T23:43:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B67"
    ],
    "keywords": [
      "finite-dimensional representations",
      "spectral character",
      "weyl modules",
      "characters determine blocks",
      "quantum affine algebras"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math.....12199C"
    }
  }
}