Relation of Orbital Integrals on SO(5) and PGL(2)
| dc.creator | Zinoviev, Dmitrii | |
| dc.date | 2007-11-24 | |
| dc.date.accessioned | 2026-07-07T08:44:51Z | |
| dc.date.available | 2026-07-07T08:44:51Z | |
| dc.description | We relate the "Fourier" orbital integrals of corresponding spherical functions on the p-adic groups SO(5) and PGL(2). The correspondence is defined by a "lifting" of representations of these groups. This is a local "fundamental lemma" needed to compare the geometric sides of the global Fourier summation formulae (or relative trace formulae) on these two groups. This comparison leads to conclusions about a well known lifting of representations from PGL(2) to PGSp(4). This lifting produces counter examples to the Ramanujan conjecture. | |
| dc.description | 44 pages | |
| dc.identifier | https://arxiv.org/abs/0711.3849 | |
| dc.identifier | http://arxiv.org/abs/0711.3849 | |
| dc.identifier | Israel Journal of Mathematics, 106 (1998), pp. 29--78 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/142806 | |
| dc.subject | Representation Theory | |
| dc.subject | 22E55; 11F70; 20G25; 11F85 | |
| dc.title | Relation of Orbital Integrals on SO(5) and PGL(2) | |
| dc.type | text |