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.
@article{bwmeta1.element.doi-10_2478_s11533-013-0298-5,
author = {Sebastian Burciu},
title = {Kernels of representations of Drinfeld doubles of finite groups},
journal = {Open Mathematics},
volume = {11},
year = {2013},
pages = {1900-1913},
zbl = {1306.16025},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-013-0298-5}
}
Sebastian Burciu. Kernels of representations of Drinfeld doubles of finite groups. Open Mathematics, Tome 11 (2013) pp. 1900-1913. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-013-0298-5/
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