# 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
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• Symmetry, Integrability and Geometry: Methods and Applications
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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
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• 2019
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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Ostbayerische Technische Hochschule Regensburg, Galgenbergstrasse 32, 93053 Regensburg, Germany Email address: oliver.stein@oth-regensburg