{ "id": "1004.5342", "version": "v3", "published": "2010-04-29T17:06:48.000Z", "updated": "2010-10-01T09:32:45.000Z", "title": "Exercises with the universal R-matrix", "authors": [ "Herman Boos", "Frank Göhmann", "Andreas Klümper", "Khazret S. Nirov", "Alexander V. Razumov" ], "comment": "36 pages", "journal": "J. Phys. A: Math. Theor. 43 (2010) 415208", "doi": "10.1088/1751-8113/43/41/415208", "categories": [ "math-ph", "math.MP", "nlin.SI" ], "abstract": "Using the formula for the universal $R$-matrix proposed by Khoroshkin and Tolstoy, we give a detailed derivation of $L$-operators for the quantum groups associated with the generalized Cartan matrices $A_1^{(1)}$ and $A_2^{(1)}$.", "revisions": [ { "version": "v3", "updated": "2010-10-01T09:32:45.000Z" } ], "analyses": { "subjects": [ "16T25", "17B37", "81R50" ], "keywords": [ "universal r-matrix", "generalized cartan matrices", "detailed derivation", "quantum groups" ], "tags": [ "journal article" ], "publication": { "journal": "Journal of Physics A Mathematical General", "year": 2010, "month": "Oct", "volume": 43, "number": 41, "pages": 415208 }, "note": { "typesetting": "TeX", "pages": 36, "language": "en", "license": "arXiv", "status": "editable", "inspire": 1090198, "adsabs": "2010JPhA...43O5208B" } } }