%0 Journal Article
%T Irreducible decomposition for local representations of quantum Teichm¨¹ller space
%A Toulisse J¨¦r¨¦my
%J Mathematics
%D 2014
%I arXiv
%X We give an irreducible decomposition of the so-called local representations (see arXiv:0707.2151) of the quantum Teichm\"uller space $\mathcal{T}_q(\Sigma)$ where $\Sigma$ is a punctured surface of genus $g>0$ and $q$ is a $N$-th root of unity with $N$ odd.
%U http://arxiv.org/abs/1404.4938v1