On higher spin Uq(sl_2)-invariant R-matrices

Details On higher spin Uq(sl_2)-invariant R-matrices On higher spin Uq(sl_2)-invariant R-matrices

2004-12-23

arxiv.org/abs/math/0412482v2

Algebra i Analiz 17 (2005) No.3, 23-46; St.Petersburg Math. J. 17 (2006) 393-408 (Engl. transl.)

Mathematics

Quantum Algebra

17 pages, LaTeX 2e

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

On higher spin Uq(sl_2)-invariant R-matrices does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On higher spin Uq(sl_2)-invariant R-matrices, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On higher spin Uq(sl_2)-invariant R-matrices will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-94156