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arXiv · 1312.3152

On a symmetry of Müger's centralizer for the Drinfeld double of a semisimple Hopf algebra

Sebastian Burciu
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Abstract

In this paper we prove a formula that relates Müger's centralizer in the category of representations of a factorizable Hopf algebra to the notion of Hopf kernel of a representation of the dual Hopf algebra. Using this relation we obtain a complete description for Müger's centralizer of some fusion subcategories of the fusion category of finite dimensional representations of a Drinfeld double of a semisimple Hopf algebra.

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Sebastian Burciu. 2013-12-11. On a symmetry of Müger's centralizer for the Drinfeld double of a semisimple Hopf algebra. https://arxiv.org/abs/1312.3152

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