Lifting of Characters for Nonlinear Simply Laced Groups
| dc.creator | Adams, Jeffrey | |
| dc.creator | Herb, Rebecca | |
| dc.date | 2008-09-05 | |
| dc.date.accessioned | 2026-07-07T10:01:03Z | |
| dc.date.available | 2026-07-07T10:01:03Z | |
| dc.description | One aspect of the Langlands program for linear groups is lifting of characters, which relates virtual representations on a group $G$ with those on an endoscopic group for $G$. The goal of this paper is to extend this theory to nonlinear two-fold covers of real groups in the simply laced case. Suppose $\tG$ is a two-fold cover of a real reductive group $G$. The main result is that there is an operation, denoted $\Lift_G^{\tG}$, taking a stable virtual character of $G$ to 0 or a virtual genuine character of $\tG$, and $\Lift_G^{\tG}(Θ_π)$ may be explicitly computed if $π$ is a stable sum of standard modules. | |
| dc.identifier | https://arxiv.org/abs/0809.1075 | |
| dc.identifier | http://arxiv.org/abs/0809.1075 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/168513 | |
| dc.subject | Representation Theory | |
| dc.subject | 22E50, 05E99 | |
| dc.title | Lifting of Characters for Nonlinear Simply Laced Groups | |
| dc.type | text |