The Weil representation and Hecke operators for vector valued modular forms |
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| Authors: | Jan Hendrik Bruinier Oliver Stein |
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| Affiliation: | 1. Fachbereich Mathematik, Technische Universit?t Darmstadt, Schlo?gartenstra?e 7, 64289, Darmstadt, Germany
2. Mathematisches Institut, Universit?t zu K?ln, Weyertal 86-90, 50931, K?ln, Germany
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| Abstract: | 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. |
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