On higher spin Uq(sl_2)-invariant R-matrices
| dc.creator | Bytsko, Andrei | |
| dc.date | 2004-12-23 | |
| dc.date | 2005-02-28 | |
| dc.date.accessioned | 2026-07-07T06:33:07Z | |
| dc.date.available | 2026-07-07T06:33:07Z | |
| dc.description | The spectral decomposition of regular Uq(sl_2)-invariant solutions of the Yang-Baxter equation is studied. An algorithm for finding all possible solutions of spin s is developed. It also allows to reconstruct the R-matrix from a given nearest neighbour spin chain Hamiltonian. The algorithm is based on reduction of the Yang-Baxter equation to certain subspaces. As an application, the complete list of inequivalent regular Uq(sl_2)-invariant R-matrices is obtained for generic q and spins up to s=3/2. Some further results about spectral decompositions for higher spins are also obtained. In particular, it is proved that certain types of regular sl_2-invariant R-matrices have no Uq(sl_2)-invariant counterparts. | |
| dc.description | 17 pages, LaTeX 2e | |
| dc.identifier | https://arxiv.org/abs/math/0412482 | |
| dc.identifier | http://arxiv.org/abs/math/0412482 | |
| dc.identifier | Algebra i Analiz 17 (2005) No.3, 23-46; St.Petersburg Math. J. 17 (2006) 393-408 (Engl. transl.) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/99089 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.subject | 81R50 | |
| dc.title | On higher spin Uq(sl_2)-invariant R-matrices | |
| dc.type | text |