Drinfeld Doubles for Finite Subgroups of SU(2) and SU(3) Lie Groups

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2013
• Main Authors: Coquereaux, R., Zuber, J.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2013
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/149196
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Drinfeld Doubles for Finite Subgroups of SU(2) and SU(3) Lie Groups / R. Coquereaux, J. Zuber // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 53 назв. — англ.

Drinfeld doubles of finite subgroups of SU(2) and SU(3) are investigated in detail. Their modular data – S, T and fusion matrices – are computed explicitly, and illustrated by means of fusion graphs. This allows us to reexamine certain identities on these tensor product or fusion multiplicities unde...