Abstract
In this article, 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.
Citation
Dongwen Liu. Yongchang Zhu. "Theta lifting for loop groups." Duke Math. J. 171 (13) 2799 - 2840, 15 September 2022. https://doi.org/10.1215/00127094-2022-0049
Information
