On the universal $R$-matrix of $U_q\hat{sl}_2$ at roots of unity

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

latex file, 20 pages

Scientific paper

10.1007/BF02102434

We show that the action of universal $R$-matrix of affine $U_qsl_2$ quantum algebra, when $q$ is a root of unity, can be renormalized by some scalar factor to give a well defined nonsingular expression, satisfying Yang-Baxter equation. It reduced to intertwining operators of all representations, corresponding to Chiral Potts, if the parameters of these representations lie on well known algebraic curve. We also show that affine $U_qsl_2$ for $q$ is a root of unity form the autoquasitriangular Hopf algebra in the sence of Reshetikhin.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

On the universal $R$-matrix of $U_q\hat{sl}_2$ at roots of unity 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 the universal $R$-matrix of $U_q\hat{sl}_2$ at roots of unity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the universal $R$-matrix of $U_q\hat{sl}_2$ at roots of unity will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-236895

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.