Abstract

We propose a conjecture that automorphic distinguished representations on n-fold covering groups of GL(nr) are parametrized by automorphic cuspidal representations of GL(r). We also give a local result on unramified distinguished representations; noncuspidal automorphic distinguished representations are constructed by Eisenstein series; and some types of Rankin-Selberg convolutions of a metaplectic form against a distinguished form are shown to have Euler products.

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