Recovering l-adic representations
| dc.creator | Rajan, C. S. | |
| dc.date | 2002-07-16 | |
| dc.date.accessioned | 2026-07-07T04:49:58Z | |
| dc.date.available | 2026-07-07T04:49:58Z | |
| dc.description | We consider the problem of recovering l-adic representations from a knowledge of the character values at the Frobenius elements associated to l-adic representations constructed algebraically out of the original representations. These results generalize earlier results in of the author concerning refinements of strong multiplicity one for $l$-adic represntations, and a result of Ramakrishnan recovering modular forms from a knowledge of the squares of the Hecke eigenvalues. For example, we show that if the characters of some tensor or symmetric powers of two absolutely irreducible l-adic representation with the algebraic envelope of the image being connected, agree at the Frobenius elements corresponding to a set of places of positive upper density, then the representations are twists of each other by a finite order character. | |
| dc.identifier | https://arxiv.org/abs/math/0207308 | |
| dc.identifier | http://arxiv.org/abs/math/0207308 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/64632 | |
| dc.subject | Number Theory | |
| dc.title | Recovering l-adic representations | |
| dc.type | text |