The Fourier expansion of Hecke operators for vector-valued modular forms

@inproceedings{Stein2015TheFE,
  title={The Fourier expansion of Hecke operators for vector-valued modular forms},
  author={Oliver Stein},
  year={2015}
}
We correct a mistake in [St] leading to erroneous formulas in Theorems 5.2 and 5.4. As an immediate corollary of a formula in [BCJ] we give a formula, which relates the Hecke operators T (p) ◦ T (p), T (p) and T (p) and comment on it. 
Hecke Operators on Vector-Valued Modular Forms
We study Hecke operators on vector-valued modular forms for the Weil representation $\rho_L$ of a lattice $L$. We first construct Hecke operators $\mathcal{T}_r$ that map vector-valued modular formsExpand
Galois symmetry induced by Hecke relations in rational conformal field theory and associated modular tensor categories
Hecke operators relate characters of rational conformal field theories (RCFTs) with different central charges, and extend the previously studied Galois symmetry of modular representations and fusionExpand

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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 HeckeExpand
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Ostbayerische Technische Hochschule Regensburg, Galgenbergstrasse 32, 93053 Regensburg, Germany Email address: oliver.stein@oth-regensburg