Noetherian Centralizing Hopf Algebra Extensions and Finite Morphisms of Quantum Groups
| dc.creator | Letzter, E. S. | |
| dc.date | 1999-05-10 | |
| dc.date.accessioned | 2026-07-07T05:29:00Z | |
| dc.date.available | 2026-07-07T05:29:00Z | |
| dc.description | Let $A \subset H$ be a finite centralizing extension of noetherian Hopf algebras, and let $X$ denote the group of characters of $H$ that restrict to the augmentation map on $A$. Our main results provide necessary and sufficient conditions for the fibers of the canonical surjection from $spec H$ onto $spec A$ to coincide with the $X$-orbits in $spec H$. In particular, all of the fibers are $X$-orbits if and only if the fiber over the augmentation ideal of $A$ is an $X$-orbit. An application to the representation theory of quantum function algebras, at roots of unity, is presented. | |
| dc.description | To appear in Bulletin of the London Mathematical Society | |
| dc.identifier | https://arxiv.org/abs/math/9905056 | |
| dc.identifier | http://arxiv.org/abs/math/9905056 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78477 | |
| dc.subject | Rings and Algebras | |
| dc.subject | Quantum Algebra | |
| dc.subject | 16D30;16S20;16P40;16W30;81R50 | |
| dc.title | Noetherian Centralizing Hopf Algebra Extensions and Finite Morphisms of Quantum Groups | |
| dc.type | text |