On the Spectra of Quantum Groups
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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] .
Link to Catalog
LOC Call Number
QA3 .A57 NO.1076
ISBN
9780821891742
Publication Date
2013
Department
Department of Mathematics
Publisher
American Mathematical Society
City
Providence
Recommended Citation
Yakimov, Milen, "On the Spectra of Quantum Groups" (2013).