Abstract.
We relate the semiclassical asymptotics of the 6j symbols for the quantized enveloping algebra \(U_q (\mathfrak{s}\mathfrak{l}_2 )\) at q a root of unity (resp. q real positive) to the geometry of spherical (resp. hyperbolic) tetrahedra.
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Taylor, Y.U., Woodward, C.T. 6j symbols for \(U_q (\mathfrak{s}\mathfrak{l}_2 )\) and non-Euclidean tetrahedra. Sel. math., New ser. 11, 539 (2006). https://doi.org/10.1007/s00029-005-0014-9
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DOI: https://doi.org/10.1007/s00029-005-0014-9