• Corpus ID: 2132340

6j symbols for U_q(sl_2) and non-Euclidean tetrahedra

@article{Taylor20036jSF,
  title={6j symbols for U\_q(sl\_2) and non-Euclidean tetrahedra},
  author={Yuka U. Taylor and Chris T. Woodward},
  journal={arXiv: Quantum Algebra},
  year={2003}
}
We relate the semiclassical asymptotics of the 6j symbols for the representation theory of the quantized enveloping algebra U_q(sl_2) at q a primitive root of unity, or q positive real, to the geometry of non-Euclidean tetrahedra. The formulas are motivated by the geometry of conformal blocks in the Wess-Zumino-Witten model; they generalize formulas in the case q = 1 of Wigner, Ponzano and Regge, and Schulten and Gordon, proved by J. Roberts. 

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