English

A motivic interpretation of Whittaker periods for $\mathrm{GL}_n$

Number Theory 2022-08-19 v1

Abstract

Admitting the existence of conjectural motives attached to cohomological irreducible cuspidal automorphic representations of GLn\mathrm{GL}_n, we write down Raghuram and Shahidi's Whittaker periods in terms of Yoshida's fundamental periods when the base field is a totally real number field or a CM field.

Keywords

Cite

@article{arxiv.2208.08716,
  title  = {A motivic interpretation of Whittaker periods for $\mathrm{GL}_n$},
  author = {Takashi Hara and Kenichi Namikawa},
  journal= {arXiv preprint arXiv:2208.08716},
  year   = {2022}
}