English

Galois representations attached to automorphic forms on GL_2 over CM fields

Number Theory 2019-02-20 v4

Abstract

In this paper we generalize the work of Harris-Soudry-Taylor and construct the compatible systems of two-dimensional Galois representations attached to cuspidal automorphic representations of cohomological type on GL_2 over a CM field with a suitable condition on their central characters. We also prove a local-global compatibility statement, up to semisimplification.

Keywords

Cite

@article{arxiv.1109.5392,
  title  = {Galois representations attached to automorphic forms on GL_2 over CM fields},
  author = {Chung Pang Mok},
  journal= {arXiv preprint arXiv:1109.5392},
  year   = {2019}
}

Comments

61 pages

R2 v1 2026-06-21T19:09:58.745Z