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

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2019
• ISSN: 1815-0659
• 1. Verfasser: Korinman, J.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2019
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/210064
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: 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...