On the spectra of quantum groups
Author(s)
Bibliographic Information
On the spectra of quantum groups
（Memoirs of the American Mathematical Society, no. 1078）
American Mathematical Society, 2014, c2013
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Note
"Volume 229, number 1078 (fifth of 5 numbers), May 2014"
Includes bibliographical references (p. 89-91)
Description and Table of Contents
Description
Joseph 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] .
Table of Contents
Introduction
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
Bibliography
by "Nielsen BookData"
