%0 Journal Article %T Discrete evolution for the zero-modes of the Quantum Liouville Model %A L. D. Faddeev %A A. Yu. Volkov %J Mathematics %D 2008 %I arXiv %R 10.1088/1751-8113/41/19/194008 %X The dynamical system for the zero modes of the Liouville Model, which is separated from the full dynamics for the discrete shifts of time $ t \to t + \pi $, is investigated. The structure of the modular double in quantum case is introduced. %U http://arxiv.org/abs/0803.0230v1