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

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2019
• Main Author: Korinman, J.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2019
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/210064
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Decomposition of some Witten-Reshetikhin-Turaev Representations into Irreducible Factors / J. Korinman // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 14 назв. — англ.

We decompose into irreducible factors the SU(2) Witten-Reshetikhin-Turaev representations of the mapping class group of a genus 2 surface when the level is p=4r and p=2r² with r an odd prime, and when p=2r₁r₂ with r₁, r₂ two distinct odd primes. Some partial generalizations in higher genus are also...