# 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.

#### 2 Citations

Hecke Operators on Vector-Valued Modular Forms

- Mathematics, Physics
- Symmetry, Integrability and Geometry: Methods and Applications
- 2019

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 forms… Expand

Galois symmetry induced by Hecke relations in rational conformal field theory and associated modular tensor categories

- Mathematics, Physics
- 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 fusion… Expand

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