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OverviewJoseph and Hodges-Levasseur (in the A case) described the spectra of all quantum function algebras R q [G] on simple algebraic groups in terms of the centres of certain localisations of quotients of R q [G] by torus invariant prime ideals, or equivalently in terms of orbits of finite groups. These centres were only known up to finite extensions. The author determines the centres explicitly under the general conditions that the deformation parameter is not a root of unity and without any restriction on the characteristic of the ground field. From it he deduces a more explicit description of all prime ideals of R q [G] than the previously known ones and an explicit parametrisation of SpecR q [G] . Full Product DetailsAuthor: Milen YakimovPublisher: American Mathematical Society Imprint: American Mathematical Society Weight: 0.151kg ISBN: 9780821891742ISBN 10: 082189174 Pages: 91 Publication Date: 30 April 2014 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsIntroduction Previous results on spectra of quantum function algebras A description of the centers of Joseph's localizations Primitive ideals of R q [G] and a Dixmier map for R q [G] Separation of variables for the algebras S ± w A classification of the normal and prime elements of the De Concini-Kac-Procesi algebras Module structure of R w over their subalgebras generated by Joseph's normal elements A classification of maximal ideals of R q [G] and a question of Goodearl and Zhang Chain properties and homological applications BibliographyReviewsAuthor InformationMilen Yakimov, Louisiana State University, Baton Rouge, Louisiana. Tab Content 6Author Website:Countries AvailableAll regions |
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