{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,7]],"date-time":"2026-04-07T03:55:56Z","timestamp":1775534156620,"version":"3.50.1"},"reference-count":34,"publisher":"AIP Publishing","issue":"2","content-domain":{"domain":["pubs.aip.org"],"crossmark-restriction":true},"short-container-title":[],"published-print":{"date-parts":[[2008,2,1]]},"abstract":"<jats:p>A reducible representation of the Temperley\u2013Lieb algebra is constructed on the tensor product of n-dimensional spaces. One obtains as a centralizer of this action a quantum algebra (a quasitriangular Hopf algebra) Uq with a representation ring equivalent to the representation ring of the sl2 Lie algebra. This algebra Uq is the symmetry algebra of the corresponding open spin chain.<\/jats:p>","DOI":"10.1063\/1.2873025","type":"journal-article","created":{"date-parts":[[2008,3,3]],"date-time":"2008-03-03T14:38:52Z","timestamp":1204555132000},"update-policy":"https:\/\/doi.org\/10.1063\/aip-crossmark-policy-page","source":"Crossref","is-referenced-by-count":16,"title":["Quantum symmetry algebras of spin systems related to Temperley\u2013Lieb R-matrices"],"prefix":"10.1063","volume":"49","author":[{"given":"P. P.","family":"Kulish","sequence":"first","affiliation":[{"name":"St. Petersburg Department of Steklov Mathematical Institute 1 , Fontanka 27, 191023 St. Petersburg, Russia"}]},{"given":"N.","family":"Manojlovic","sequence":"additional","affiliation":[{"name":"Universidade do Algarve 2 Departamento de Matem\u00e1tica, F. C. T., , Campus de Gambelas, PT-8005-139 Faro, Portugal"},{"name":"Universidade de Lisboa 3 Grupo de F\u00edsica Matem\u00e1tica, , Av. Prof. Portugal"}]},{"given":"Z.","family":"Nagy","sequence":"additional","affiliation":[{"name":"Universidade do Algarve 2 Departamento de Matem\u00e1tica, F. C. T., , Campus de Gambelas, PT-8005-139 Faro, Portugal"},{"name":"Universidade de Lisboa 3 Grupo de F\u00edsica Matem\u00e1tica, , Av. Prof. Portugal"}]}],"member":"317","published-online":{"date-parts":[[2008,2,29]]},"reference":[{"key":"2023080205430865900_c1","first-page":"194","volume":"40","year":"1979","journal-title":"Teor. Mat. Fiz."},{"key":"2023080205430865900_c2","first-page":"13","volume":"34","year":"1979","journal-title":"Usp. Mat. Nauk"},{"key":"2023080205430865900_c3","first-page":"149","volume-title":"Proceedings of the Les Houches Summer School","author":"Connes","year":"1998"},{"key":"2023080205430865900_c4","doi-asserted-by":"crossref","first-page":"61","DOI":"10.1007\/3-540-11190-5_8","volume":"151","year":"1982","journal-title":"Lect. Notes Phys."},{"key":"2023080205430865900_c5","first-page":"101","volume":"101","year":"1981","journal-title":"Zap. Nauchn. Semin. LOMI"},{"key":"2023080205430865900_c6","first-page":"214","volume":"40","year":"1985","journal-title":"Usp. Mat. Nauk"},{"key":"2023080205430865900_c7","first-page":"798","volume-title":"Proceedings of the International Congress Math","year":"1987"},{"key":"2023080205430865900_c8a","doi-asserted-by":"publisher","first-page":"63","DOI":"10.1007\/BF00704588","volume":"10","year":"1985","journal-title":"Lett. Math. Phys."},{"key":"2023080205430865900_c8b","doi-asserted-by":"publisher","first-page":"247","DOI":"10.1007\/BF00400222","volume":"11","year":"1986","journal-title":"Lett. Math. Phys."},{"key":"2023080205430865900_c9a","first-page":"134","volume":"109","year":"1981","journal-title":"Zap. Nauchn. Semin. LOMI"},{"key":"2023080205430865900_c9b","doi-asserted-by":"publisher","first-page":"241","DOI":"10.1007\/BF01087245","volume":"24","year":"1984","journal-title":"J. Sov. Math."},{"key":"2023080205430865900_c10","doi-asserted-by":"publisher","first-page":"523","DOI":"10.1016\/0550-3213(90)90122-T","volume":"330","year":"1990","journal-title":"Nucl. Phys. B"},{"key":"2023080205430865900_c11","volume-title":"Algebraic Analysis of Solvable Lattice Models","year":"1995"},{"key":"2023080205430865900_c12","doi-asserted-by":"publisher","first-page":"L489","DOI":"10.1088\/0305-4470\/36\/38\/101","volume":"36","year":"2003","journal-title":"J. Phys. A"},{"key":"2023080205430865900_c13","volume-title":"Exactly Solvable Models in Statistical Mechanics","year":"1982"},{"key":"2023080205430865900_c14","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/BF01011621","volume":"28","year":"1982","journal-title":"J. Stat. Phys."},{"key":"2023080205430865900_c15","doi-asserted-by":"crossref","first-page":"1905","DOI":"10.1143\/JPSJ.57.1905","volume":"57","year":"1988","journal-title":"J. Phys. Soc. Jpn."},{"key":"2023080205430865900_c16","volume-title":"Potts Models and Related Problems in Statistical Mechanics","year":"1991"},{"key":"2023080205430865900_c17","doi-asserted-by":"publisher","first-page":"2599","DOI":"10.1088\/0305-4470\/24\/11\/026","volume":"24","year":"1991","journal-title":"J. Phys. A"},{"key":"2023080205430865900_c18","doi-asserted-by":"crossref","first-page":"519","DOI":"10.1088\/0305-4470\/29\/3\/007","volume":"29","year":"1996","journal-title":"J. Phys. A"},{"key":"2023080205430865900_c19","doi-asserted-by":"publisher","first-page":"579","DOI":"10.1016\/S0550-3213(97)00342-8","volume":"500","year":"1997","journal-title":"Nucl. Phys. B"},{"key":"2023080205430865900_c20","doi-asserted-by":"publisher","first-page":"387","DOI":"10.1016\/j.nuclphysb.2005.09.005","volume":"729","year":"2005","journal-title":"Nucl. Phys. B"},{"key":"2023080205430865900_c21","first-page":"009","volume":"3","year":"2007","journal-title":"Symmetry, Integr. Geom.: Methods Appl."},{"key":"2023080205430865900_c22","doi-asserted-by":"publisher","first-page":"175","DOI":"10.1016\/0370-2693(90)90129-T","volume":"245","year":"1990","journal-title":"Phys. Lett. B"},{"key":"2023080205430865900_c23a","first-page":"119","volume":"2","year":"1990","journal-title":"Algebra Anal."},{"key":"2023080205430865900_c23b","first-page":"801","volume":"2","year":"1991","journal-title":"Leningrad Math. J."},{"key":"2023080205430865900_c24","doi-asserted-by":"crossref","first-page":"4831","DOI":"10.1081\/AGB-120023135","volume":"31","year":"2003","journal-title":"Commun. Algebra"},{"key":"2023080205430865900_c25","doi-asserted-by":"crossref","first-page":"103","DOI":"10.4310\/MRL.2004.v11.n1.a10","volume":"11","year":"2004","journal-title":"Math. Res. Lett."},{"key":"2023080205430865900_c26","volume-title":"A Guide to Quantum Groups","year":"1994"},{"key":"2023080205430865900_c27a","first-page":"178","volume":"1","year":"1989","journal-title":"Algebra Anal."},{"key":"2023080205430865900_c27b","first-page":"193","volume":"1","year":"1990","journal-title":"Leningrad Math. J."},{"key":"2023080205430865900_c28"},{"key":"2023080205430865900_c29","first-page":"P06004","volume-title":"J. Stat. Mech.: Theory Exp.","year":"2006"},{"key":"2023080205430865900_c30","doi-asserted-by":"crossref","first-page":"263","DOI":"10.1016\/j.nuclphysb.2007.03.007","volume":"777","year":"2007","journal-title":"Nucl. Phys. B"}],"container-title":["Journal of Mathematical Physics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/pubs.aip.org\/aip\/jmp\/article-pdf\/doi\/10.1063\/1.2873025\/16156047\/023510_1_online.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"syndication"},{"URL":"https:\/\/pubs.aip.org\/aip\/jmp\/article-pdf\/doi\/10.1063\/1.2873025\/16156047\/023510_1_online.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,8,2]],"date-time":"2023-08-02T05:43:48Z","timestamp":1690955028000},"score":1,"resource":{"primary":{"URL":"https:\/\/pubs.aip.org\/jmp\/article\/49\/2\/023510\/928282\/Quantum-symmetry-algebras-of-spin-systems-related"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2008,2,1]]},"references-count":34,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2008,2,1]]}},"URL":"https:\/\/doi.org\/10.1063\/1.2873025","relation":{},"ISSN":["0022-2488","1089-7658"],"issn-type":[{"value":"0022-2488","type":"print"},{"value":"1089-7658","type":"electronic"}],"subject":[],"published-other":{"date-parts":[[2008,2]]},"published":{"date-parts":[[2008,2,1]]},"article-number":"023510"}}