Representations and Conjugacy Classes of Semisimple Quasitriangular Hopf Algebras

Sebastian Burciu

Symmetry, integrability and geometry: methods and applications, Tome 16 (2020)

Résumé

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 the terms of the Drinfeld map associated to the quasitriangular Hopf algebra. The second formula for the Müger centralizer is given in the terms of the conjugacy classes introduced by Cohen and Westreich in [J. Algebra 283 (2005), 42–62]. In the case of a factorizable Hopf algebra these formulae extend some particular cases obtained by the author in [Math. Z. 279 (2015), 227–240].

Détail

Keywords: quasi-triangular Hopf algebras, centralizers, braided fusion categories
Mots-clés : normal coideal subalgebras.

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