Spherical orbits and representations of $U_ε(\mathfrak g)$
| dc.creator | Cantarini, Nicoletta | |
| dc.creator | Carnovale, Giovanna | |
| dc.creator | Costantini, Mauro | |
| dc.date | 2003-06-23 | |
| dc.date | 2003-12-20 | |
| dc.date.accessioned | 2026-07-07T04:59:07Z | |
| dc.date.available | 2026-07-07T04:59:07Z | |
| dc.description | Let $U_ε(\mathfrak g)$ be the simply connected quantized enveloping algebra associated to a finite-dimensional complex simple Lie algebra $\mathfrak g$ at the roots of unity. The De Concini-Kac-Procesi conjecture on the dimension of the irreducible representations of $U_ε(\mathfrak g)$ is proved for representations corresponding to the spherical conjugacy classes of the simply connected algebraic group $G$ with Lie algebra $\mathfrak g$. We achieve this result by means of a new characterization of the spherical conjugacy classes of $G$ in terms of elements of the Weyl group. | |
| dc.description | This new version includes part I and part II. Some typos are corrected and some remarks are added | |
| dc.identifier | https://arxiv.org/abs/math/0306321 | |
| dc.identifier | http://arxiv.org/abs/math/0306321 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/67852 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Representation Theory | |
| dc.subject | 17B37 (primary), 17B10 (secondary) | |
| dc.title | Spherical orbits and representations of $U_ε(\mathfrak g)$ | |
| dc.type | text |