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arXiv · 1010.2096

Categorical Hopf kernels and representations of semisimple Hopf algebras

Sebastian Burciu
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Abstract

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.

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Sebastian Burciu. 2010-10-11. Categorical Hopf kernels and representations of semisimple Hopf algebras. https://arxiv.org/abs/1010.2096

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