On the Howe correspondence for symplectic–orthogonal dual pairs

Abstract: We reformulate some of Moeglin''s results on the correspondence for the dual pairs , with p and q even, and fill in the cases where p and q are both odd. We arrive at a complete and detailed description, in terms of Langlands parameters, of the dual pair correspondence for the cases and . In addition, we point out and suggest a way to correct an error in Moeglin''s paper. [Copyright &y& Elsevier]