Once More about SpectralDependent Quantum $R$Matrix for $U_q(A_2)$
Abstract
The recently obtained results in \cite{ZG2} are used to compute the explicitly spectraldependent $R$matrix (or the intertwiners) on $V_{(6)}(x)\otimes V_{(6)}(y)$ and $V_{(3)}(x)\otimes V_{(6)}(y)$, where $V_{(6)}$ and $V_{(3)}$ are the 6dimensional and fundamental representations of $U_q(A_2)$, respectively. It appears that the $R$matrix on $V_{(3)}(x)\otimes V_{(6)}(y)$ depends on $q$ in the different way from what one might usually think: $q$ occurs in the $R$matrix in fractional powers. It seems to be the first example in literatures of $R$matrix with the new feature.
 Publication:

arXiv eprints
 Pub Date:
 August 1993
 arXiv:
 arXiv:hepth/9308056
 Bibcode:
 1993hep.th....8056B
 Keywords:

 High Energy Physics  Theory;
 Mathematics  Quantum Algebra
 EPrint:
 10 pages (The order of authors is changed and some typos corrected)