Generating weights for the Weil representation attached to an even order cyclic quadratic module
Number Theory
2017-11-27 v2
Abstract
We develop geometric methods to study the generating weights of free modules of vector valued modular forms of half-integral weight, taking values in a complex representation of the metaplectic group. We then compute the generating weights for modular forms taking values in the Weil representation attached to cyclic quadratic modules of order 2p^r, where p is a prime greater than three. We also show that the generating weights approach a simple limiting distribution as p grows, or as r grows and p remains fixed.
Cite
@article{arxiv.1606.07844,
title = {Generating weights for the Weil representation attached to an even order cyclic quadratic module},
author = {Luca Candelori and Cameron Franc and Gene S. Kopp},
journal= {arXiv preprint arXiv:1606.07844},
year = {2017}
}