F-split Galois representations are potentially abelian
Number Theory
2007-05-23 v1
Abstract
In this note we relate the property of a semisimple l-adic Galois representation being "F-split" for a number field F to its having abelian image. By F-split we mean that the characteristic polynomials of Frobenii all split in F.
Keywords
Cite
@article{arxiv.math/0210402,
title = {F-split Galois representations are potentially abelian},
author = {Chandrashekhar Khare},
journal= {arXiv preprint arXiv:math/0210402},
year = {2007}
}