{ "id": "1812.08428", "version": "v1", "published": "2018-12-20T09:15:32.000Z", "updated": "2018-12-20T09:15:32.000Z", "title": "Principal series representations of Iwahori-Hecke algebras for Kac-Moody groups over local fields", "authors": [ "Auguste Hébert" ], "categories": [ "math.RT" ], "abstract": "Recently, Iwahori-Hecke algebras were associated to Kac-Moody groups over non-Archimedean local fields. We introduce principal series representations for these algebras. We study these representations and partially generalize Kato and Matsumoto irreducibility criteria.", "revisions": [ { "version": "v1", "updated": "2018-12-20T09:15:32.000Z" } ], "analyses": { "keywords": [ "principal series representations", "iwahori-hecke algebras", "kac-moody groups", "non-archimedean local fields", "matsumoto irreducibility criteria" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }