[en] We give an irreducible decomposition of the so-called local representations \cite{math/0407086} of the quantum Teichmüller 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.
Disciplines :
Mathematics
Author, co-author :
Toulisse, Jérémy ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
Language :
English
Title :
Irreducible decomposition for local representations of quantum Teichmüller space