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NOETHERIAN CENTRALIZING HOPF ALGEBRA EXTENSIONS AND FINITE MORPHISMS OF QUANTUM GROUPS

Published online by Cambridge University Press:  01 September 1999

EDWARD S. LETZTER
EDWARD S. LETZTER
Affiliation:
Department of Mathematics, Texas A & M University, College Station, TX 77843, USA
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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.

Type
NOTES AND PAPERS
Information
Bulletin of the London Mathematical Society , Volume 31 , Issue 5 , September 1999 , pp. 523 - 530
Copyright
© The London Mathematical Society 1999

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