{ "id": "math/0210372", "version": "v6", "published": "2002-10-23T20:10:52.000Z", "updated": "2007-03-02T00:59:20.000Z", "title": "Unipotent Representations and Quantum Induction", "authors": [ "Hongyu He" ], "comment": "89 pages. Revised", "categories": [ "math.RT" ], "abstract": "In this paper, we construct certain unipotent representations for the real orthogonal group and the metaplectic group in the sense of Vogan. In particular, our results imply that there are irreducible unitary representations attached to each special nilpotent orbit.", "revisions": [ { "version": "v6", "updated": "2007-03-02T00:59:20.000Z" } ], "analyses": { "subjects": [ "22E45", "22E46" ], "keywords": [ "unipotent representations", "quantum induction", "special nilpotent orbit", "real orthogonal group", "metaplectic group" ], "note": { "typesetting": "TeX", "pages": 89, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2002math.....10372H" } } }