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arxiv: 1302.5400 · v2 · pith:S673AKDGnew · submitted 2013-02-21 · 🧮 math-ph · hep-th· math.MP

3j-symbol for the modular double of SL_q(2,R) revisited

classification 🧮 math-ph hep-thmath.MP
keywords doublemodularrepresentationsconsidereddecompositionderivationdetailedgive
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Modular double of quantum group SL_q(2,R) with |q|=1 has a series of selfadjoint irreducible representations parameterized by s. Ponsot and Teschner considered a decomposition of the tensor product of two representations into irreducibles. In our paper we give more detailed derivation and some new proofs.

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