287 research outputs found
Categorical Hopf kernels and representations of semisimple Hopf algebras
In the category of semisimple Hopf algebras the Hopf kernels introduced by
Andruskiewitsch and Devoto in \cite{AD} coincide with kernels of representation
as introduced in \cite{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.Comment: 9 page
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