Categorical Hopf kernels and representations of semisimple Hopf algebras

Details Categorical Hopf kernels and representations of semisimple Hopf algebras Categorical Hopf kernels and representations of semisimple Hopf algebras

2010-10-11

arxiv.org/abs/1010.2096v1

Mathematics

Quantum Algebra

9 pages

Scientific paper

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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