{
  "id": "math/0505173",
  "version": "v4",
  "published": "2005-05-10T10:37:00.000Z",
  "updated": "2007-08-14T22:46:16.000Z",
  "title": "Quasiharmonic polynomials for Coxeter groups and representations of Cherednik algebras",
  "authors": [
    "Arkady Berenstein",
    "Yurii Burman"
  ],
  "comment": "A key conjecture is proved, based on Pavel Etingof's idea (now it is Theorem 1.13). The Section 2 -- dihedral group case -- is simplified",
  "categories": [
    "math.RT",
    "math.QA"
  ],
  "abstract": "We introduce and study deformations of finite-dimensional modules over rational Cherednik algebras. Our main tool is a generalization of usual harmonic polynomials for Coxeter groups -- the so-called quasiharmonic polynomials. A surprising application of this approach is the construction of canonical elementary symmetric polynomials and their deformations for all Coxeter groups.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2007-08-14T22:46:16.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "coxeter groups",
      "quasiharmonic polynomials",
      "representations",
      "canonical elementary symmetric polynomials",
      "rational cherednik algebras"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......5173B"
    }
  }
}