Categorical Hopf kernels and representations of semisimple Hopf algebras
Abstract
In the category of semisimple Hopf algebras the Hopf kernels introduced by Andruskiewitsch and Devoto in AD coincide with kernels of representation as introduced in Bker. Some new results concerning the normality of kernels are also presented. It is proven that the property for Hopf algebras to have all kernels normal Hopf subalgebras is a self dual property.
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