A cuspidality criterion for the functorial product on GL(2) x GL(3), with a cohomological application
| dc.creator | Ramakrishnan, Dinakar | |
| dc.creator | Wang, Song | |
| dc.date | 2003-10-11 | |
| dc.date.accessioned | 2026-07-07T05:01:48Z | |
| dc.date.available | 2026-07-07T05:01:48Z | |
| dc.description | This paper was motivated by a question of Avner Ash, asking if it is possible to construct non-selfdual, non-monomial, cuspidal cohomology classes for suitable congruence subgroups Γof SL(n,\Z). Such a construction, in special examples, has been known for some time for n=3; it is of course impossible for n=2. We show in this paper the existence of many such examples for n=6, which are primitive, by making use of the functorial product on GL(2) x GL(3), which was recently shown to be automorphic by Kim and Shahidi. We establish a general cuspidality criterion for this product, which is essential to the construction. We also show that there exist non-selfdual, monomial (cuspidal) classes for any n=2m > 3, and non-selfdual, non-monomial (but imprimitive) classes for n=4. | |
| dc.identifier | https://arxiv.org/abs/math/0310163 | |
| dc.identifier | http://arxiv.org/abs/math/0310163 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/68816 | |
| dc.subject | Number Theory | |
| dc.subject | 11F70; 11F75 | |
| dc.title | A cuspidality criterion for the functorial product on GL(2) x GL(3), with a cohomological application | |
| dc.type | text |