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Noetherian Centralizing Hopf Algebra Extensions And Finite Morphisms Of Quantum Groups (1998)  (Make Corrections)  
Edward S. Letzter



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Abstract: . We study finite centralizing extensions A ae H of Noetherian Hopf algebras. Our main results provide necessary and sufficient conditions for the fibers of the surjection spec H i 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 fibers are X-orbits if and only if the fiber over the augmentation ideal of A is an X-orbit. An application to the representation theory of quantum function... (Update)

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BibTeX entry:   (Update)

@misc{ letzter-noetherian,
  author = "Edward S. Letzter",
  title = "Noetherian Centralizing Hopf Algebra Extensions And Finite Morphisms Of
    Quantum Groups",
  url = "citeseer.ist.psu.edu/letzter98noetherian.html" }
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76   Introduction to quantum groups (context) - Lusztig - 1993
65   Noncommutative noetherian rings (context) - McConnell, Robson - 1987
41   Hopf algebras and their actions on rings (context) - Montgomery - 1993
23   Quantum linear groups (context) - Parshall, Wang - 1991
19   Cambridge University Press (context) - Abe, algebras - 1977
17   An introduction to noncommutative noetherian rings (context) - Goodearl, Warfield - 1989
15   Quantum deformations of GLn (context) - Artin, Schelter et al. - 1991
15   Quantum groups and their primitive ideals (context) - Joseph - 1995
14   Quantum Function Algebra at Roots (context) - De Concini, Lyubashenko - 1994
12   Multiparameter Quantum Groups and Twisted Quasitriangular Ho.. (context) - Reshetikhin - 1990
7   Quantum Schubert cells and representations at roots - De Concini, Procesi - 1997
5   Quantum Coadjoint Action (context) - De Concini, Kac et al. - 1992
5   Prime ideals in Hopf Galois extensions (context) - Montgomery, Schnieder
3   Primitive ideals in finite extensions of noetherian rings (context) - Letzter - 1989
2   Multiparameter Quantum Function Algebra at Roots (context) - Costantini, Varagnolo - 1996
1   Personal communication (context) - Costantini - 1996
1   Prime ideals in intermediate extensions (context) - Robson - 1982
1   449--463 (context) - Warfield, Noetherian et al. - 1992

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