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On higher spin Uq(sl_2)-invariant R-matrices | | Andrei Bytsko
; | | Date: |
23 Dec 2004 | | Subject: | Quantum Algebra; Exactly Solvable and Integrable Systems MSC-class: 81R50 | math.QA nlin.SI | | Abstract: | 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. | | Source: | arXiv, math.QA/0412482 | | Services: | Forum | Review | PDF | Favorites | |
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