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

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.

39 pages

References in corpus (1)

• On the functional equation of the Siegel series

Cited by in corpus (3)

• An explicit formula for the Siegel series of a quadratic form over a non-archimedian local field
• The CAP representations indexed by Hilbert cusp forms
• Higher level cusp forms on the exceptional group of type $E_7$