Representations and Conjugacy Classes of Semisimple Quasitriangular Hopf Algebras

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2020
• Main Author: Burciu, Sebastian
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2020
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/210711
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Representations and Conjugacy Classes of Semisimple Quasitriangular Hopf Algebras. Sebastian Burciu. SIGMA 16 (2020), 039, 20 pages

In this paper, we give two general formulae for the Müger centralizers in the category of representations of a semisimple quasitriangular Hopf algebra. The first formula is given in terms of the Drinfeld map associated with the quasitriangular Hopf algebra. The second formula for the Müger centraliz...