On the lifting of Hilbert cusp forms to Hilbert-Siegel cusp forms

Tamotsu, Ikeda; Yamana, Shunsuke

doi:10.24033/asens.2442

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On the lifting of Hilbert cusp forms to Hilbert-Siegel cusp forms

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Yamana, Shunsuke
Max Planck Institute for Mathematics, Max Planck Society;

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https://doi.org/10.24033/asens.2442
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Citation

Tamotsu, I., & Yamana, S. (2020). On the lifting of Hilbert cusp forms to Hilbert-Siegel cusp forms. Annales Scientifiques de l'École Normale Supérieure, 53(5), 1121-1181. doi:10.24033/asens.2442.

Cite as: https://hdl.handle.net/21.11116/0000-0007-99DE-3

Abstract

Starting from a Hilbert cusp form of weight $2\kap$, we will construct a Hilbert-Siegel cusp form of weight $\kap+\frac{m}{2}$ and degree $m$ and its transfer to inner forms of symplectic groups.