{
  "id": "0810.0791",
  "version": "v1",
  "published": "2008-10-05T00:40:00.000Z",
  "updated": "2008-10-05T00:40:00.000Z",
  "title": "On some representations of degenerate affine Hecke algebras of type $BC_{n}$",
  "authors": [
    "Xiaoguang Ma"
  ],
  "comment": "24 pages, Latex",
  "categories": [
    "math.RT"
  ],
  "abstract": "Let G=U(p,q) and K=U(p)xU(q). In arXiv:0801.1530, the authors construct a functor from the category of Harish-Chandra modules for the pair (G,K) to the category of representations of the degenerate affine Hecke algebra of type B_n. In this paper, we study the image of the principal series modules of G under this functor. We describe the dAHA module structure of the image by constructing a family of common eigenvectors of {y_i}. In the rank 1 case, we write down an explicit formula for the generator y_{1} in terms of central elements of U(g) and calculate the eigenvalue of y_{1} by using the central characters.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-10-05T00:40:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "degenerate affine hecke algebra",
      "representations",
      "daha module structure",
      "principal series modules",
      "authors construct"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0810.0791M"
    }
  }
}