On modular mod $\ell$ Galois representations with exceptional images

Ian Kiming; Helena A. Verrill

On modular mod $\ell$ Galois representations with exceptional images

数论 2007-05-23 v1

作者: Ian Kiming , Helena A. Verrill

摘要

We give a parametrization of the possible Serre invariants $(N,k,\nu)$ of modular mod $\ell$ Galois representations of the exceptional types $A_4$ , $S_4$ , $A_5$ , in terms of local data attached to the fields cut out by the associated projective representations. We show how this result combined with certain global considerations leads to an effective procedure that will determine for a given eigenform $f$ and prime $\ell$ whether a mod $\ell$ representation attached to $f$ is exceptional. We illustrate with numerical examples.

关键词

galois representations galois theory modular forms

引用

@article{arxiv.math/0311082,
  title  = {On modular mod $\ell$ Galois representations with exceptional images},
  author = {Ian Kiming and Helena A. Verrill},
  journal= {arXiv preprint arXiv:math/0311082},
  year   = {2007}
}

备注

This is a revised version of a preprint that first occurred elsewhere in June, 2000

On modular mod $\ell$ Galois representations with exceptional images

摘要

关键词

引用

备注

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