Irreducible decomposition for local representations of quantum Teichmüller space
English
Toulisse, Jérémy[University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
19-Apr-2014
No
[en] Quantum Teichmüller theory ; Quantum invariants
[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.