{ "id": "1408.4924", "version": "v1", "published": "2014-08-21T09:10:13.000Z", "updated": "2014-08-21T09:10:13.000Z", "title": "Rational and polynomial representations of Yangians", "authors": [ "Sergey Khoroshkin", "Maxim Nazarov", "Alexander Shapiro" ], "comment": "23 pages, published version", "journal": "Journal of Algebra 418 (2014) 265-291", "doi": "10.1016/j.jalgebra.2014.06.038", "categories": [ "math.RT", "math.QA" ], "abstract": "We define natural classes of rational and polynomial representations of the Yangian of the general linear Lie algebra. We also present the classification and explicit realizations of all irreducible rational representations of the Yangian.", "revisions": [ { "version": "v1", "updated": "2014-08-21T09:10:13.000Z" } ], "analyses": { "keywords": [ "polynomial representations", "general linear lie algebra", "define natural classes", "explicit realizations", "irreducible rational representations" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 23, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014arXiv1408.4924K" } } }