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arXiv · 1406.4389

Decomposition of some Witten-Reshetikhin-Turaev Representations into Irreducible Factors

Julien Korinman
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Abstract

We decompose into irreducible factors the ${\rm SU}(2)$ Witten-Reshetikhin-Turaev representations of the mapping class group of a genus $2$ surface when the level is $p=4r$ and $p=2r^2$ with $r$ an odd prime and when $p=2r_1r_2$ with $r_1$, $r_2$ two distinct odd primes. Some partial generalizations in higher genus are also presented.

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Julien Korinman. 2014-06-17. Decomposition of some Witten-Reshetikhin-Turaev Representations into Irreducible Factors. https://doi.org/10.3842/sigma.2019.011

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