Kernels of representations of Drinfeld doubles of finite groups
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A description of the commutator of a normal subcategory of the fusion category of representation Rep A of a semisimple Hopf algebra A is given. Formulae for the kernels of representations of Drinfeld doubles D(G) of finite groups G are presented. It is shown that all these kernels are normal Hopf subalgebras.
KeywordsNormal fusion subcategories Drinfeld doubles of finite groups Fusion subcategories Kernels of representations
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