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A new construction of the inverse Shimura correspondence. (English) Zbl 0881.11048

This is a sketch of one more proof of the lifting of automorphic forms from \(PGL(2,\mathbb{A})\) to \(\widetilde{SL}(2,\mathbb{A})\); this time the theta representation of \(\widetilde{Sp}(3)\) is restricted to the subgroup \(\widetilde{SL}(2)\times PGL(2)\).

MSC:

11F70 Representation-theoretic methods; automorphic representations over local and global fields
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