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paper

Normal Hopf subalgebras of semisimple Hopf algebras

arXiv:math/0611068

Abstract

In this note the notion of kernel of a representation of a semisimple Hopf algebra is introduced. Similar properties to the kernel of a group representation are proved in some special cases. In particular, every normal Hopf subalgebra of a semisimple Hopf algebra H is the kernel of a representation of H.