Constructing Self-Dual Automorphic Representations on General Linear Groups

@inproceedings{Hwang2016ConstructingSA,
  title={Constructing Self-Dual Automorphic Representations on General Linear Groups},
  author={Brian Hwang},
  year={2016}
}
We prove a globalization theorem for self-dual representations of GLN over a totally real number field F , which gives a positive existence criterion for self-dual cuspidal automorphic representations of GLN (AF ) with prescribed local components at a finite set of finite places. A byproduct of our argument is that the automorphic representations that we construct are cohomological (equivalently, regular algebraic) and so fall into the class of automorphic representations on GLN for which there… CONTINUE READING