{ "id": "1708.03875", "version": "v1", "published": "2017-08-13T08:33:53.000Z", "updated": "2017-08-13T08:33:53.000Z", "title": "Frobenius structures and characters of affine Lie algebras", "authors": [ "Ikuo Satake" ], "comment": "32 pages", "categories": [ "math.AG", "math.RT" ], "abstract": "In this paper, we give a proof of the description of the Frobenius structure for the elliptic root system of type $D_4^{(1,1)}$ by using the characters of an affine Lie algebra of type $D_4^{(1)}$. This description is already announced in my paper \\cite{D4} without a proof.", "revisions": [ { "version": "v1", "updated": "2017-08-13T08:33:53.000Z" } ], "analyses": { "subjects": [ "32G20", "32N15" ], "keywords": [ "affine lie algebra", "frobenius structure", "characters", "elliptic root system" ], "note": { "typesetting": "TeX", "pages": 32, "language": "en", "license": "arXiv", "status": "editable" } } }