Elliptic Quantum Group U_{q,p}(\hat{sl}_2) and Vertex Operators
| dc.creator | Konno, Hitoshi | |
| dc.date | 2008-02-25 | |
| dc.date | 2008-03-12 | |
| dc.date.accessioned | 2026-07-07T11:40:28Z | |
| dc.date.available | 2026-07-07T11:40:28Z | |
| dc.description | Introducing an H-Hopf algebroid structure into U_{q,p}(\widedhat{sl}_2), we investigate the vertex operators of the elliptic quantum group U_{q,p}(\widedhat{sl}_2) defined as intertwining operators of infinite dimensional U_{q,p}(\widedhat{sl}_2)-modules. We show that the vertex operators coincide with the previous results obtained indirectly by using the quasi-Hopf algebra B_{q,λ}(\hat{sl}_2). This shows a consistency of our H-Hopf algebroid structure even in the case with non-zero central element. | |
| dc.description | 15 pages. Typos fixed. Version to appear in J.Phys.A :Math.and Theor., special issue on Recent Developments in Infinite Dimensional Algebras and Their Applications to Quantum Integrable Systems 2007 | |
| dc.identifier | https://arxiv.org/abs/0802.3630 | |
| dc.identifier | http://arxiv.org/abs/0802.3630 | |
| dc.identifier | J.Phys.A41:194012,2008 | |
| dc.identifier | doi:10.1088/1751-8113/41/19/194012 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/200264 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Statistical Mechanics | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Mathematical Physics | |
| dc.subject | 17B37; 81R10 | |
| dc.title | Elliptic Quantum Group U_{q,p}(\hat{sl}_2) and Vertex Operators | |
| dc.type | text |