Geodesic
Decomposition of some Witten–Reshetikhin–Turaev Representations into Irreducible Factors
Symmetry, integrability and geometry: methods and applications, Tome 15 (2019) Cet article a éte moissonné depuis la source Math-Net.Ru

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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.
Keywords: Witten–Reshetikhin–Turaev representations; mapping class group; topological quantum field theory. 
@article{SIGMA_2019_15_a10,
     author = {Julien Korinman},
     title = {Decomposition of some {Witten{\textendash}Reshetikhin{\textendash}Turaev} {Representations} into {Irreducible} {Factors}},
     journal = {Symmetry, integrability and geometry: methods and applications},
     year = {2019},
     volume = {15},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2019_15_a10/}
}
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Julien Korinman. Decomposition of some Witten–Reshetikhin–Turaev Representations into Irreducible Factors. Symmetry, integrability and geometry: methods and applications, Tome 15 (2019). http://geodesic.mathdoc.fr/item/SIGMA_2019_15_a10/

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