Symmetry of Arthur parameters under Aubert involution
| dc.creator | Ban, Dubravka | |
| dc.date | 2004-01-20 | |
| dc.date | 2004-02-25 | |
| dc.date.accessioned | 2026-07-07T05:04:42Z | |
| dc.date.available | 2026-07-07T05:04:42Z | |
| dc.description | We consider a nontempered $A$-parameter $ψ$ of $SO(2n+1, F)$ of a certain type and the base point representation $π$ in the $A$-packet of $ψ$. Let $\hatπ$ be the Aubert involution of $π$. We compute explicitly the Langlands data of $\hatπ$ and the $A$-parameter $\hatψ$ of $\hatπ$. We investigate whether $ψ$ and $\hatψ$ are symmetric. Although symmetry holds for large classes of parameters, it does not hold in general. | |
| dc.description | 27 pages | |
| dc.identifier | https://arxiv.org/abs/math/0401261 | |
| dc.identifier | http://arxiv.org/abs/math/0401261 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69908 | |
| dc.subject | Representation Theory | |
| dc.subject | Number Theory | |
| dc.subject | 11F70; 22E50 | |
| dc.title | Symmetry of Arthur parameters under Aubert involution | |
| dc.type | text |