Przebinda, Tomasz The duality correspondence of infinitesimal characters. (English) Zbl 0854.22017 Colloq. Math. 70, No. 1, 93-102 (1996). The correspondence of the infinitesimal characters of representations which occur in Howe’s duality theorem is determined and 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 are identified. Reviewer: V.L.Popov (Moskva) Cited in 23 Documents MSC: 22E46 Semisimple Lie groups and their representations 17B10 Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Keywords:infinitesimal characters; representations; Howe’s duality theorem; dual pairs PDFBibTeX XMLCite \textit{T. Przebinda}, Colloq. Math. 70, No. 1, 93--102 (1996; Zbl 0854.22017) Full Text: DOI EuDML