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Lifting automorphic representations on the double covers of orthogonal groups

Lifting automorphic representations on the double covers of orthogonal groups

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, …