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

Takashi Hara, Kenichi Namikawa

Published 2022-08-18Version 1

Admitting the existence of conjectural motives attached to cohomological irreducible cuspidal automorphic representations of $\mathrm{GL}_n$, 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.