Theta lifting for loop groups
Representation Theory
2021-09-17 v4
Abstract
In this paper we study the theta lifting for loop groups and extend the classical tower property established by S. Rallis to the loop setting. As an application we obtain cusp forms on loop groups, and we give the first example where the cusp forms constructed using this method are nonvanishing.
Keywords
Cite
@article{arxiv.1808.05005,
title = {Theta lifting for loop groups},
author = {Dongwen Liu and Yongchang Zhu},
journal= {arXiv preprint arXiv:1808.05005},
year = {2021}
}
Comments
Final version, to appear in Duke Math. J