Orbites Nilpotentes Sphériques et Représentations unipotentes associées : Le cas $SL_n$
| dc.creator | Sabourin, Hervé | |
| dc.date | 2004-07-22 | |
| dc.date.accessioned | 2026-07-07T05:10:34Z | |
| dc.date.available | 2026-07-07T05:10:34Z | |
| dc.description | Let $G$ be a real simple Lie group, $\got g$ its Lie algebra. Given a nilpotent adjoint $G$-orbit $O$, the question is to determine the irreducible unitary representations of $G$ that we can associate to $O$, according to the orbit method. P.Torasso, in [22], gave a method to solve this problem if $O$ is minimal. In this paper, we study the case where $O$ is any spherical nilpotent orbit of $sl_n({\mathbb R})$, we construct, from $O$, a family of representations of the two-sheeted covering of $SL_n({\mathbb R})$ with Torasso's method and, finally, we show that all these representations are associated to the corresponding orbit. | |
| dc.identifier | https://arxiv.org/abs/math/0407376 | |
| dc.identifier | http://arxiv.org/abs/math/0407376 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/71966 | |
| dc.subject | Representation Theory | |
| dc.title | Orbites Nilpotentes Sphériques et Représentations unipotentes associées : Le cas $SL_n$ | |
| dc.type | text |