August 2023 Higher level cusp forms on exceptional group of type E7
Henry H. Kim, Takuya Yamauchi
Author Affiliations +
Kyoto J. Math. 63(3): 579-614 (August 2023). DOI: 10.1215/21562261-10607364

Abstract

By using new techniques with the degenerate Whittaker functions developed by Ikeda and Yamana, we construct a higher-level cusp form on GE7,3 (exceptional similitude group of type E7), called Ikeda type lift, from any Hecke cusp form whose corresponding automorphic representation has no supercuspidal local components. This generalizes our earlier results on level-1 forms. But there is a new phenomenon in higher levels; we can handle cusp forms with nontrivial central characters. We also compute the degree-133 adjoint L-function of the Ikeda type lift.

Citation

Download Citation

Henry H. Kim. Takuya Yamauchi. "Higher level cusp forms on exceptional group of type E7." Kyoto J. Math. 63 (3) 579 - 614, August 2023. https://doi.org/10.1215/21562261-10607364

Information

Received: 23 September 2020; Revised: 3 August 2021; Accepted: 9 September 2021; Published: August 2023
First available in Project Euclid: 12 June 2023

MathSciNet: MR4622481
zbMATH: 07713915
Digital Object Identifier: 10.1215/21562261-10607364

Subjects:
Primary: 11F55
Secondary: 11F70 , 20G41 , 22E55

Keywords: Eisenstein series , exceptional group of type E7 , Ikeda lift , Langlands functoriality

Rights: Copyright © 2023 by Kyoto University

Vol.63 • No. 3 • August 2023
Back to Top