Abstract
We introduce Weil representations for loop symplectic groups and prove the convergence and modularity of the related theta functions
Citation
Yongchang Zhu. "Theta functions and Weil representations of loop symplectic groups." Duke Math. J. 143 (1) 17 - 39, 15 May 2008. https://doi.org/10.1215/00127094-2008-014
Information
Published: 15 May 2008
First available in Project Euclid: 23 May 2008
zbMATH: 1216.11051
MathSciNet: MR2414743
Digital Object Identifier: 10.1215/00127094-2008-014
Subjects:
Primary:
11F72
,
11M36
,
22E67
Rights: Copyright © 2008 Duke University Press