{
  "id": "2112.07132",
  "version": "v2",
  "published": "2021-12-14T03:08:22.000Z",
  "updated": "2022-08-29T00:44:06.000Z",
  "title": "Characters of irreducible Whittaker modules for complex semisimple Lie algebras",
  "authors": [
    "Qixian Zhao"
  ],
  "comment": "Added more explanation on conceptual ideas. Rearranged contents. Simplified redundant notations",
  "categories": [
    "math.RT"
  ],
  "abstract": "Let $\\mathfrak{g}$ be a complex semisimple Lie algebra. We give a description of characters of irreducible Whittaker modules for $\\mathfrak{g}$ with any infinitesimal character, along with a Kazhdan-Lusztig algorithm for computing them. This generalizes Milicic-Soergel's and Romanov's results for integral infinitesimal characters.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2022-08-29T00:44:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B10",
      "32C38"
    ],
    "keywords": [
      "complex semisimple lie algebra",
      "irreducible whittaker modules",
      "integral infinitesimal characters",
      "kazhdan-lusztig algorithm",
      "generalizes milicic-soergels"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}