# Normal subgroups and relative centers of linearly reductive quantum groups

@inproceedings{Chirvasitu2021NormalSA, title={Normal subgroups and relative centers of linearly reductive quantum groups}, author={Alexandru Chirvasitu}, year={2021} }

We prove a number of structural and representation-theoretic results on linearly reductive quantum groups, i.e. objects dual to that of cosemisimple Hopf algebras: (a) a closed normal quantum subgroup is automatically linearly reductive if its squared antipode leaves invariant each simple subcoalgebra of the underlying Hopf algebra; (b) for a normal embedding H E G there is a Clifford-style correspondence between two equivalence relations on irreducible Gand, respectively, H-representations…

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