Abstract

AbstractLet V be an even dimensional nondegenerate symmetric bilinear space over a nonarchimedean local field F of characteristic zero, and let n be a nonnegative integer. Suppose that σ ∈ Irr (O(V)) and π ∈ Irr (Sp(n, F)) correspond under the theta correspondence. Assuming that õ is tempered, we investigate the problem of determining the Langlands quotient data for π.

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