ON THE THETA CORRESPONDENCE FOR (GSp(4),GSO(4, 2)) AND SHALIKA PERIODS
نویسنده
چکیده
We consider both local and global theta correspondences for GSp4 and GSO4,2. Because of the accidental isomorphism PGSO4,2 PGU2,2, these correspondences give rise to those between GSp4 and GU2,2 for representations with trivial central characters. In the global case, using this relation, we characterize representations with trivial central character, which have Shalika period on GU(2, 2) by theta correspondences. Moreover, in the local case, we consider a similar relationship for irreducible admissible representations without an assumption on the central character.
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