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

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dc.creatorTaylor, Yuka U.
dc.creatorWoodward, Christopher T.
dc.date2003-05-07
dc.date2005-05-13
dc.date.accessioned2026-07-07T04:57:50Z
dc.date.available2026-07-07T04:57:50Z
dc.descriptionWe 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.
dc.description34 pages. Rewritten. To appear in Selecta Math
dc.identifierhttps://arxiv.org/abs/math/0305113
dc.identifierhttp://arxiv.org/abs/math/0305113
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67403
dc.subjectQuantum Algebra
dc.subjectSymplectic Geometry
dc.subject20G42 (53D50)
dc.title6j symbols for U_q(sl_2) and non-Euclidean tetrahedra
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