Lifting Automorphic Representations on the Double Covers of Orthogonal Groups
نویسنده
چکیده
Suppose that G and H are connected reductive groups over a number field F and that an L-homomorphism ρ : LG −→ LH is given. The Langlands functoriality conjecture predicts the existence of a map from the automorphic representations of G(A) to those of H(A). If the adelic points of the algebraic groups G, H are replaced by their metaplectic covers, one may hope to specify an analogue of the Lgroup (depending on the cover), and then one may hope to construct an analogous correspondence. In this paper we construct such a correspondence for the double cover of the split special orthogonal groups,
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