Abstract
We study finite centralizing extensions A ⊂ H of noetherian Hopf algebras. Our main results provide necessary and sufficient conditions for the fibres of the surjection spec H [Rarr ]spec A to coincide with the X -orbits in spec H , where X denotes the finite group of characters of H that restrict to the counit of A . In particular, all of the fibres are X -orbits if and only if the fibre over the augmentation ideal of A is an X -orbit. An application to the representation theory of quantum function algebras, at roots of unity, is presented.
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