On the symmetric square. Unstable Twisted Characters
| dc.creator | Flicker, Yuval Z. | |
| dc.creator | Zinoviev, Dmitrii | |
| dc.date | 2007-11-28 | |
| dc.date.accessioned | 2026-07-07T08:45:48Z | |
| dc.date.available | 2026-07-07T08:45:48Z | |
| dc.description | We provide a purely local computation of the (elliptic) twisted (by "transpose-inverse") character of the representation π=I(\1) of PGL(3) over a p-adic field induced from the trivial representation of the maximal parabolic subgroup. This computation is independent of the theory of the symmetric square lifting of [IV] of automorphic and admissible representations of SL(2) to PGL(3). It leads to a proof of the (unstable) fundamental lemma in the theory of the symmetric square lifting, namely that corresponding spherical functions (on PGL(2) and PGL(3)) are matching: they have matching orbital integrals. | |
| dc.description | 8 pages | |
| dc.identifier | https://arxiv.org/abs/0711.4447 | |
| dc.identifier | http://arxiv.org/abs/0711.4447 | |
| dc.identifier | Israel Journal of Mathematics, 134 (2003), 307--316 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/143077 | |
| dc.subject | Representation Theory | |
| dc.subject | Number Theory | |
| dc.subject | 10D40; 10D30; 12A67; 12A85; 14G10; 22E55; 11F27; 11R42; 11S40 | |
| dc.title | On the symmetric square. Unstable Twisted Characters | |
| dc.type | text |