{ "id": "math/0410592", "version": "v2", "published": "2004-10-28T01:04:44.000Z", "updated": "2005-06-17T01:20:10.000Z", "title": "Hall--Littlewood functions and the A_2 Rogers--Ramanujan identities", "authors": [ "S. Ole Warnaar" ], "comment": "25 pages, typos corrected", "journal": "Adv. Math. 200 (2006), 403-434", "categories": [ "math.CO", "math.QA" ], "abstract": "We prove an identity for Hall--Littlewood symmetric functions labelled by the Lie algebra A_2. Through specialization this yields a simple proof of the A_2 Rogers--Ramanujan identities of Andrews, Schilling and the author.", "revisions": [ { "version": "v2", "updated": "2005-06-17T01:20:10.000Z" } ], "analyses": { "subjects": [ "05E05", "05A17", "05A19" ], "keywords": [ "rogers-ramanujan identities", "hall-littlewood functions", "hall-littlewood symmetric functions", "lie algebra", "simple proof" ], "tags": [ "journal article" ], "publication": { "publisher": "Elsevier", "journal": "Adv. Math." }, "note": { "typesetting": "TeX", "pages": 25, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2004math.....10592W" } } }