Mathematics – Number Theory
Scientific paper
2002-07-16
Mathematics
Number Theory
Scientific paper
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.
No associations
LandOfFree
Recovering l-adic representations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Recovering l-adic representations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Recovering l-adic representations will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-43085