3j-symbol for the modular double SLq(2, ) revisited

3Quantum: Algebra Geometry Information

物理学;数学

Derkachev, S.E.^1 ; Faddeev, L.D.^1

St. Petersburg Department, Steklov Mathematical Institute, Russian Academy of Sciences, Fontanka 27, St.-Petersburg

191023, Russia^1

关键词: Irreducible representations;    Quantum groups;    Tensor products;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/532/1/012005/pdf
DOI  :  10.1088/1742-6596/532/1/012005

来源: IOP

【 摘 要 】

Modular double of quantum group SLq(2, ) with |q| 1 has a series of selfadjoint irreducible representations πsparameterized by s Ε+. Ponsot and Teschner in [Comm. Math. Phys. 224 (2001) 613] considered a decomposition of the tensor product πs1⊗ πs2into irreducibles. In our paper we give more detailed derivation and some new proofs.