Uq(sl2) AND NON-EUCLIDEAN TETRAHEDRA
نویسندگان
چکیده
In this paper we study the semiclassical asymptotics of the 6j symbols for the representation theory of the quantized enveloping algebra Uq(sl2) for q a primitive root of unity. Because of the work of Finkelberg [7], these 6j symbols can also be defined in terms of fusion product of representations of the affine Lie algebra ŝl2, defined using Wess-Zumino-Witten conformal field theory. This associates to a genus 0 Riemann surface with four boundary components labeled by half-integers j12, j23, j34, j14 a vector space, by definition isomorphic to
منابع مشابه
6j SYMBOLS FOR Uq(sl2) AND NON-EUCLIDEAN TETRAHEDRA
We relate the semiclassical asymptotics of the 6j symbols for the quantized enveloping algebra Uq(sl2) at q a root of unity (resp. q real positive) to the geometry of spherical (resp. hyperbolic) tetrahedra.
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