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

preprint2015arXivOpen access

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 mm and its transfer to inner forms of symplectic groups.

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