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The Weil representation and Hecke operators for vector valued modular forms

2008; Springer Science+Business Media; Volume: 264; Issue: 2 Linguagem: Inglês

10.1007/s00209-008-0460-0

1432-1823

Jan Hendrik Bruinier, Oliver Stein,

Advanced Combinatorial Mathematics

We define Hecke operators for 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.