Spectra of quantized hyperalgebras
Quantum Algebra
2007-05-23 v2 Rings and Algebras
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. 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.
Cite
@article{arxiv.math/0403143,
title = {Spectra of quantized hyperalgebras},
author = {William Chin and Leonid Krop},
journal= {arXiv preprint arXiv:math/0403143},
year = {2007}
}