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We study Hecke operators on vector-valued modular forms for the Weil representation $\rho_L$ of a lattice $L$.
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Stein O., The Fourier expansion of Hecke operators for vector-valued modular forms,
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Carnahan S., Generalized moonshine, II: Borcherds products,
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Bruinier J.H., On the converse theorem for Borcherds products,
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Werner F., Vector valued Hecke theory, Ph.D. Thesis, Technische Universität, 2014
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Ajouz A., Hecke operators on Jacobi forms of lattice index and the relation to elliptic modular form, Ph.D. Thesis, University of Siegen, 2015
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Westerholt-Raum M., Products of vector valued Eisenstein series,
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Joshi A., Hecke operators on vector-valued modular forms of the Weil representation, MSc. Thesis, University of Alberta, 2018
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