{ "id": "math-ph/0002001", "version": "v1", "published": "2000-02-02T15:33:34.000Z", "updated": "2000-02-02T15:33:34.000Z", "title": "Finite Dimensional Representations of Quadratic Algebras with Three Generators and Applications", "authors": [ "C. Daskaloyannis" ], "comment": "14 pages, LaTeX 2e, Talk given at the VI International Wigner Symposium, 16-22 August 1999, Instabul, Turkey", "categories": [ "math-ph", "math.MP", "math.QA", "nlin.SI", "quant-ph" ], "abstract": "The finite dimensional representations of associative quadratic algebras with three generators are investigated by using a technique based on the deformed parafermionic oscillator algebra. One application on the calculation of the eigenvalues of the two-dimensional superintegrable systems is discussed.", "revisions": [ { "version": "v1", "updated": "2000-02-02T15:33:34.000Z" } ], "analyses": { "subjects": [ "81R05", "81S05" ], "keywords": [ "finite dimensional representations", "generators", "application", "deformed parafermionic oscillator algebra", "associative quadratic algebras" ], "note": { "typesetting": "LaTeX", "pages": 14, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2000math.ph...2001D" } } }