Abstract
It is shown that in the category of semisimple Hopf algebras the categorical Hopf kernels introduced by Andruskiewitsch and Devoto (1995) in [1] coincide with the kernels of representations introduced by the present author in 2009 [2]. New results concerning the normality of these kernels are also presented. It is proven that the Hopf algebra property to have all representation kernels as normal Hopf subalgebras is a self-dual property.
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