{ "id": "math/0404023", "version": "v1", "published": "2004-04-02T08:45:35.000Z", "updated": "2004-04-02T08:45:35.000Z", "title": "On the signature character of representations of p-adic general linear groups", "authors": [ "C. Boyallian", "T. Wedhorn" ], "comment": "41 pages", "categories": [ "math.RT" ], "abstract": "In this article we calculate the signature character of certain Hermitian representations of $GL_N(F)$ for a $p$-adic field $F$. We further give a conjectural description for the signature character of unramified representations in terms of Kostka numbers.", "revisions": [ { "version": "v1", "updated": "2004-04-02T08:45:35.000Z" } ], "analyses": { "subjects": [ "22E50", "22G25" ], "keywords": [ "p-adic general linear groups", "signature character", "hermitian representations", "adic field", "conjectural description" ], "note": { "typesetting": "TeX", "pages": 41, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2004math......4023B" } } }