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

Abstract

We decompose into irreducible factors the $\mathrm{SU}(2)$ 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 $p=2r_1{r}_2$ with $r_1$, $r_2$ two distinct odd primes. Some partial generalizations in higher genus are also presented.

References in corpus (1)

• Irreducible factors of Weil representations and TQFT

Cited by in corpus (1)

• Mapping Class Group Representations Derived from Stated Skein Algebras