Spectra of quantized hyperalgebras
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- by William Chin and Leonid Krop PDF
- Trans. Amer. Math. Soc. 358 (2006), 4553-4567 Request permission
Abstract:
We describe the prime and primitive spectra for quantized enveloping algebras at roots of 1 in characteristic zero in terms of the prime spectrum of the underlying enveloping algebra. Our methods come from the theory of Hopf algebra crossed products. For primitive ideals we obtain an analogue of Duflo’s Theorem, which says that every primitive ideal is the annihilator of a simple highest weight module. This depends on an extension of Lusztig’s tensor product theorem.References
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Additional Information
- William Chin
- Affiliation: Department of Mathematics, DePaul University, Chicago, Illinois 60614
- Email: wchin@condor.depaul.edu
- Leonid Krop
- Affiliation: Department of Mathematics, DePaul University, Chicago, Illinois 60614
- MR Author ID: 106970
- Email: lkrop@condor.depaul.edu
- Received by editor(s): November 5, 2003
- Received by editor(s) in revised form: September 27, 2004
- Published electronically: April 11, 2006
- Additional Notes: This work was supported in part by a grant from the University Research Council of DePaul University.
- © Copyright 2006 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 358 (2006), 4553-4567
- MSC (2000): Primary 16W35, 16W30, 17B37, 81R50
- DOI: https://doi.org/10.1090/S0002-9947-06-03860-8
- MathSciNet review: 2231388