{ "id": "1501.02026", "version": "v1", "published": "2015-01-09T03:30:59.000Z", "updated": "2015-01-09T03:30:59.000Z", "title": "A combinatorial approach to root multiplicities of rank 2 hyperbolic Kac-Moody algebras", "authors": [ "Seok-Jin Kang", "Kyu-Hwan Lee", "Kyungyong Lee" ], "categories": [ "math.RT", "math.CO", "math.RA" ], "abstract": "In this paper we study root multiplicities of rank 2 hyperbolic Kac-Moody algebras using the combinatorics of Dyck paths.", "revisions": [ { "version": "v1", "updated": "2015-01-09T03:30:59.000Z" } ], "analyses": { "keywords": [ "hyperbolic kac-moody algebras", "combinatorial approach", "study root multiplicities", "dyck paths", "combinatorics" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2015arXiv150102026K" } } }