{ "id": "1808.07803", "version": "v1", "published": "2018-08-23T15:26:48.000Z", "updated": "2018-08-23T15:26:48.000Z", "title": "On computing the eventual behavior of an FI-module over the rational numbers", "authors": [ "John D. Wiltshire-Gordon" ], "comment": "16 pages", "categories": [ "math.RT" ], "abstract": "We give a formula for the eventual multiplicities of irreducible representations appearing in a finitely-presented FI-module over the rational numbers. The result relies on structure theory due to Sam-Snowden SS16.", "revisions": [ { "version": "v1", "updated": "2018-08-23T15:26:48.000Z" } ], "analyses": { "subjects": [ "20J99", "16G99" ], "keywords": [ "rational numbers", "eventual behavior", "eventual multiplicities", "result relies", "structure theory" ], "note": { "typesetting": "TeX", "pages": 16, "language": "en", "license": "arXiv", "status": "editable" } } }