1302.3454 (I. Nidaiev et al.)

On the relation between the modular double of U_q(sl(2,R)) and the
quantum Teichmueller theory    [PDF]

I. Nidaiev, J. Teschner

We exhibit direct relations between the modular double of U_q(sl(2,R)) and the quantum Teichmueller theory. Explicit representations for the fusion- and braiding operations of the quantum Teichmueller theory are immediate consequences. Our results include a simplified derivation of the Clebsch-Gordan decomposition for the principal series of representation of the modular double of U_q(sl(2,R)).

View original: http://arxiv.org/abs/1302.3454