English

The Weil representation and Hecke operators for vector valued modular forms

Number Theory 2007-05-23 v1

Abstract

We define Hecke operators on vector valued modular forms transforming with the Weil representation associated to a discriminant form. We describe the properties of the corresponding algebra of Hecke operators and study the action on modular forms.

Keywords

Cite

@article{arxiv.0704.1868,
  title  = {The Weil representation and Hecke operators for vector valued modular forms},
  author = {Jan H. Bruinier and Oliver Stein},
  journal= {arXiv preprint arXiv:0704.1868},
  year   = {2007}
}

Comments

23 pages