{ "id": "1902.09180", "version": "v1", "published": "2019-02-25T10:19:13.000Z", "updated": "2019-02-25T10:19:13.000Z", "title": "Robinson-Schensted-Knuth correspondence in the representation theory of the general linear group over a non-archimedean local field", "authors": [ "Maxim Gurevich", "Erez Lapid" ], "categories": [ "math.RT", "math.CO" ], "abstract": "We construct new \"standard modules\" for the representations of general linear groups over a local non-archimedean field. The construction uses a modified Robinson-Schensted-Knuth correspondence for Zelevinsky's multisegments.", "revisions": [ { "version": "v1", "updated": "2019-02-25T10:19:13.000Z" } ], "analyses": { "keywords": [ "general linear group", "non-archimedean local field", "representation theory", "local non-archimedean field", "zelevinskys multisegments" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }