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Displaying similar documents to “On the unitary dual of the classical Lie groups II. Representations of S O ( n , m ) inside the dominant Weyl Chamber”

The duality correspondence of infinitesimal characters

Tomasz Przebinda (1996)

Colloquium Mathematicae

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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.