On some series of representations related to symmetric spaces
H. Schlichtkrull (1984)
Mémoires de la Société Mathématique de France
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H. Schlichtkrull (1984)
Mémoires de la Société Mathématique de France
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We determine the correspondence of infinitesimal characters of representations which occur in Howe's Duality Theorem. In the appendix we identify the lowest K-types, in the sense of Vogan, of the unitary highest weight representations of real reductive dual pairs with at least one member compact.