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On some degenerate principal series representations of \(U(n,n)\). (English) Zbl 0829.22026

Ideas due to Bargmann and to Howe and Tan on the decomposition of the representation space for \(\text{SL} (2,R)\) into a sum of eigenspace its compact subgroup are applied to the study of a family of degenerate principal series representations of the group \(U(n,n)\).

MSC:

22E46 Semisimple Lie groups and their representations
22E45 Representations of Lie and linear algebraic groups over real fields: analytic methods
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