Multiplier systems for Siegel modular groups
Number Theory
2020-09-15 v1
Abstract
Deligne proved that the weights of Siegel modular forms on any congruence subgroup of the Siegel modular group of genus g>1 must be integral or half integral. We give a different proof for this. It uses Mennicke's result that subgroups of finite index of the Siegel modular group are congruence subgroups and some techniques from a paper of Bass-Milnor-Serre.
Cite
@article{arxiv.2009.06455,
title = {Multiplier systems for Siegel modular groups},
author = {Eberhard Freitag and Adrian Hauffe Waschbüsch},
journal= {arXiv preprint arXiv:2009.06455},
year = {2020}
}