{ "id": "1006.0075", "version": "v2", "published": "2010-06-01T07:57:18.000Z", "updated": "2010-06-07T08:08:45.000Z", "title": "q-Deformation of W(2,2) Lie algebra associated with quantum groups", "authors": [ "Lamei Yuan" ], "comment": "12 pages", "journal": "Acta Mathematica Sinica, English Series, 2012", "doi": "10.1007/s10114-012-0544-y", "categories": [ "math-ph", "math.MP" ], "abstract": "An explicit realization of the W(2,2) Lie algebra is presented using the famous bosonic and fermionic oscillators in physics, which is then used to construct the q-deformation of this Lie algebra. Furthermore, the quantum group structures on the q-deformation of this Lie algebra are completely determined.", "revisions": [ { "version": "v2", "updated": "2010-06-07T08:08:45.000Z" } ], "analyses": { "subjects": [ "17B37", "17B68", "17B81" ], "keywords": [ "lie algebra", "q-deformation", "quantum group structures", "fermionic oscillators", "explicit realization" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 12, "language": "en", "license": "arXiv", "status": "editable", "inspire": 857326, "adsabs": "2010arXiv1006.0075Y" } } }