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arXiv · 1404.4938

Irreducible decomposition for local representations of quantum Teichmüller space

Toulisse Jérémy
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Abstract

We give an irreducible decomposition of the so-called local representations (see arXiv:0707.2151) of the quantum Teichmüller space $\mathcal{T}_q(Σ)$ where $Σ$ is a punctured surface of genus $g>0$ and $q$ is a primitive $N$-th root of unity with $N$ odd. As an application, we construct a family of representations of the Kauffman bracket skein algebra of the closed surface $\overlineΣ$.

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Toulisse Jérémy. 2016-10-07. Irreducible decomposition for local representations of quantum Teichmüller space. https://doi.org/10.2140/pjm.2018.294.233

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