Abstract
AbstractA 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.
Reference20 articles.
1. Bruguières A., Natale S., Exact sequences of tensor categories, Int. Math. Res. Not. IMRN, 2011, 24, 5644–5705
2. Burciu S., Coset decomposition for semisimple Hopf algebras, Comm. Algebra, 2009, 37(10), 3573–3585
3. Burciu S., Normal Hopf subalgebras of semisimple Hopf Algebras, Proc. Amer. Math. Soc., 2009, 137(12), 3969–3979
4. Burciu S., Categorical Hopf kernels and representations of semisimple Hopf algebras, J. Algebra, 2011, 337, 253–260
5. Burciu S., On coideal subalgebras of cocentral Kac algebras and a generalization of Wall’s conjecture, preprint available at http://arxiv.org/abs/1203.5491