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

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arxiv q-alg/9511019 v1 pith:5XSJTM4T submitted 1995-11-23 q-alg math.QA

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keywords algebraequationinterpretationquantumquasi-hopfsolutionsymbolsbuild
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abstract

We consider the universal solution of the Gervais-Neveu-Felder equation in the ${\cal U}_q(sl_2)$ 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 Lam\'e equation.

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