We construct an automorphic realization of the global minimal representation of quaternionic exceptional groups, using the theory of Eisenstein series, and use this for the study of theta correspondences.

MSC Classifications:

11F27, 11F70 show english descriptions Theta series; Weil representation; theta correspondences
Representation-theoretic methods; automorphic representations over local and global fields 11F27 - Theta series; Weil representation; theta correspondences
11F70 - Representation-theoretic methods; automorphic representations over local and global fields

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