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arXiv · 2108.06544

On vector valued automorphic forms for the Weil representation

Oliver Stein
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Abstract

We develop a theory of vector valued automorphic forms associated to the Weil representation $\omega_f$ and corresponding to vector valued modular forms transforming with the ``finite'' Weil representation $\rho_L$. For each prime $p$ we determine the structure of a vector valued spherical Hecke algebra depending on $\omega_f$, which acts on the space of automorphic forms.

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Oliver Stein. 2021-08-14. On vector valued automorphic forms for the Weil representation. https://arxiv.org/abs/2108.06544

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