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 at q a root of unity (resp. q real positive) to the geometry of spherical (resp. hyperbolic) tetrahedra.