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6 j symbols for $U_q (mathfrak{s}mathfrak{l}_2 )$U_q (mathfrak{s}mathfrak{l}_2 ) and non-Euclidean tetrahedra
Authors:Yuka U. Taylor and Christopher T. Woodward
Affiliation:(1) Department of Mathematics, The George Washington University, Old Main, Room 102, 1922 F St. NW, Washington, DC, 20052, U.S.A;(2) Mathematics-Hill Center, Rutgers University, 110 Frelinghuysen Road, Piscataway, NJ, 08854-8019, U.S.A
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.
Keywords:17B37  33C80  51M20
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