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arXiv · 1005.2892

Normal Hopf subalgebras of semisimple Drinfeld doubles

Sebastian Burciu
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Abstract

A description of all normal Hopf subalgebras of a semisimple Drinfeld double is given. This is obtained by considering an analogue of Goursat's lemma concerning fusion subcategories of Deligne products of two fusion categories. As an application we show that the Drinfeld double of any abelian extension is also an abelian extension.

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Sebastian Burciu. 2013-01-30. Normal Hopf subalgebras of semisimple Drinfeld doubles. https://arxiv.org/abs/1005.2892

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