Theta liftings for $(\mathrm{GL}_n,\mathrm{GL}_n)$ type dual pairs of loop groups
Representation Theory
2023-05-02 v3 Number Theory
Abstract
In this article we prove the theta liftings of a cusp form on the loop group induced from a classical cusp form for the loop group ``dual pair'' is an Eisenstein series.
Cite
@article{arxiv.2111.09195,
title = {Theta liftings for $(\mathrm{GL}_n,\mathrm{GL}_n)$ type dual pairs of loop groups},
author = {Yanze Chen and Yongchang Zhu},
journal= {arXiv preprint arXiv:2111.09195},
year = {2023}
}
Comments
26 pages, with more complete proofs