A Quasi-Hopf algebra interpretation of quantum 3-j and 6-j symbols and difference equations

Abstract

We consider the universal solution of the Gervais-Neveu-Felder equation in the ${\mathcal{U}}_q(s{l}_2)$ case. We show that it has a quasi-Hopf algebra interpretation. We also recall its relation to quantum 3-j and 6-j symbols. Finally, we use this solution to build a q-deformation of the trigonometric Lamé equation.

9 pages, 4 figures

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